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Finding the Fourth Proportional to 502.96, 694.20 and 296.08

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Solution

The fourth proportional to 502.96, 694.20 and 296.08 is: 408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.96 : 694.20 = 296.08 : x
  2. Step 2: Convert to fraction form
    502.96/694.20 = 296.08/x
  3. Step 3: Cross multiply
    502.96x = 694.20 × 296.08
  4. Step 4: Simplify right side
    502.96x = 205,538.74
  5. Step 5: Solve for x
    x = 205,538.74/502.96
  6. Step 6: Final answer
    x = 408.66

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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.