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Finding the Fourth Proportional to 502.80, 693.76 and 306.28

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Solution

The fourth proportional to 502.80, 693.76 and 306.28 is: 422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.80 : 693.76 = 306.28 : x
  2. Step 2: Convert to fraction form
    502.80/693.76 = 306.28/x
  3. Step 3: Cross multiply
    502.80x = 693.76 × 306.28
  4. Step 4: Simplify right side
    502.80x = 212,484.81
  5. Step 5: Solve for x
    x = 212,484.81/502.80
  6. Step 6: Final answer
    x = 422.60

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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.