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Finding the Fourth Proportional to 402.13, 601.86 and 296.02

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Solution

The fourth proportional to 402.13, 601.86 and 296.02 is: 443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.13 : 601.86 = 296.02 : x
  2. Step 2: Convert to fraction form
    402.13/601.86 = 296.02/x
  3. Step 3: Cross multiply
    402.13x = 601.86 × 296.02
  4. Step 4: Simplify right side
    402.13x = 178,162.60
  5. Step 5: Solve for x
    x = 178,162.60/402.13
  6. Step 6: Final answer
    x = 443.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.