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Finding the Fourth Proportional to 502.84, 754.73 and 256.23

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Solution

The fourth proportional to 502.84, 754.73 and 256.23 is: 384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.84 : 754.73 = 256.23 : x
  2. Step 2: Convert to fraction form
    502.84/754.73 = 256.23/x
  3. Step 3: Cross multiply
    502.84x = 754.73 × 256.23
  4. Step 4: Simplify right side
    502.84x = 193,385.59
  5. Step 5: Solve for x
    x = 193,385.59/502.84
  6. Step 6: Final answer
    x = 384.59

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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.