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Finding the Fourth Proportional to 306.76, 423.12 and 190.12

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Solution

The fourth proportional to 306.76, 423.12 and 190.12 is: 262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.76 : 423.12 = 190.12 : x
  2. Step 2: Convert to fraction form
    306.76/423.12 = 190.12/x
  3. Step 3: Cross multiply
    306.76x = 423.12 × 190.12
  4. Step 4: Simplify right side
    306.76x = 80,443.57
  5. Step 5: Solve for x
    x = 80,443.57/306.76
  6. Step 6: Final answer
    x = 262.24

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Find fourth proportional to 153.38, 211.56 and 95.06
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1.5x scale

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.