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Finding the Fourth Proportional to 502.71, 753.81 and 194.64

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Solution

The fourth proportional to 502.71, 753.81 and 194.64 is: 291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.71 : 753.81 = 194.64 : x
  2. Step 2: Convert to fraction form
    502.71/753.81 = 194.64/x
  3. Step 3: Cross multiply
    502.71x = 753.81 × 194.64
  4. Step 4: Simplify right side
    502.71x = 146,721.58
  5. Step 5: Solve for x
    x = 146,721.58/502.71
  6. Step 6: Final answer
    x = 291.86

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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.