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Finding the Fourth Proportional to 502.08, 692.80 and 281.02

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Solution

The fourth proportional to 502.08, 692.80 and 281.02 is: 387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.08 : 692.80 = 281.02 : x
  2. Step 2: Convert to fraction form
    502.08/692.80 = 281.02/x
  3. Step 3: Cross multiply
    502.08x = 692.80 × 281.02
  4. Step 4: Simplify right side
    502.08x = 194,690.66
  5. Step 5: Solve for x
    x = 194,690.66/502.08
  6. Step 6: Final answer
    x = 387.77

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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.