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Finding the Fourth Proportional to 951.40, 1,427.18 and 258.08

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Solution

The fourth proportional to 951.40, 1,427.18 and 258.08 is: 387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.40 : 1,427.18 = 258.08 : x
  2. Step 2: Convert to fraction form
    951.40/1,427.18 = 258.08/x
  3. Step 3: Cross multiply
    951.40x = 1,427.18 × 258.08
  4. Step 4: Simplify right side
    951.40x = 368,326.61
  5. Step 5: Solve for x
    x = 368,326.61/951.40
  6. Step 6: Final answer
    x = 387.14

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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.