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Finding the Fourth Proportional to 432.76, 596.82 and 316.12

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Solution

The fourth proportional to 432.76, 596.82 and 316.12 is: 435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.76 : 596.82 = 316.12 : x
  2. Step 2: Convert to fraction form
    432.76/596.82 = 316.12/x
  3. Step 3: Cross multiply
    432.76x = 596.82 × 316.12
  4. Step 4: Simplify right side
    432.76x = 188,666.74
  5. Step 5: Solve for x
    x = 188,666.74/432.76
  6. Step 6: Final answer
    x = 435.96

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Find fourth proportional to 216.38, 298.41 and 158.06
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.