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Finding the Fourth Proportional to 502.22, 753.49 and 258.92

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Solution

The fourth proportional to 502.22, 753.49 and 258.92 is: 388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.22 : 753.49 = 258.92 : x
  2. Step 2: Convert to fraction form
    502.22/753.49 = 258.92/x
  3. Step 3: Cross multiply
    502.22x = 753.49 × 258.92
  4. Step 4: Simplify right side
    502.22x = 195,093.63
  5. Step 5: Solve for x
    x = 195,093.63/502.22
  6. Step 6: Final answer
    x = 388.46

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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.