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Finding the Fourth Proportional to 430.12, 592.24 and 336.76

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Solution

The fourth proportional to 430.12, 592.24 and 336.76 is: 463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.12 : 592.24 = 336.76 : x
  2. Step 2: Convert to fraction form
    430.12/592.24 = 336.76/x
  3. Step 3: Cross multiply
    430.12x = 592.24 × 336.76
  4. Step 4: Simplify right side
    430.12x = 199,442.74
  5. Step 5: Solve for x
    x = 199,442.74/430.12
  6. Step 6: Final answer
    x = 463.69

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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.