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Finding the Fourth Proportional to 306.26, 456.53 and 296.13

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Solution

The fourth proportional to 306.26, 456.53 and 296.13 is: 441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.26 : 456.53 = 296.13 : x
  2. Step 2: Convert to fraction form
    306.26/456.53 = 296.13/x
  3. Step 3: Cross multiply
    306.26x = 456.53 × 296.13
  4. Step 4: Simplify right side
    306.26x = 135,192.46
  5. Step 5: Solve for x
    x = 135,192.46/306.26
  6. Step 6: Final answer
    x = 441.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.