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Finding the Fourth Proportional to 951.61, 1,427.42 and 258.28

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Solution

The fourth proportional to 951.61, 1,427.42 and 258.28 is: 387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.61 : 1,427.42 = 258.28 : x
  2. Step 2: Convert to fraction form
    951.61/1,427.42 = 258.28/x
  3. Step 3: Cross multiply
    951.61x = 1,427.42 × 258.28
  4. Step 4: Simplify right side
    951.61x = 368,672.34
  5. Step 5: Solve for x
    x = 368,672.34/951.61
  6. Step 6: Final answer
    x = 387.42

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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.