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Finding the Fourth Proportional to 625.25, 938.42 and 260.30

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Solution

The fourth proportional to 625.25, 938.42 and 260.30 is: 390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.25 : 938.42 = 260.30 : x
  2. Step 2: Convert to fraction form
    625.25/938.42 = 260.30/x
  3. Step 3: Cross multiply
    625.25x = 938.42 × 260.30
  4. Step 4: Simplify right side
    625.25x = 244,264.73
  5. Step 5: Solve for x
    x = 244,264.73/625.25
  6. Step 6: Final answer
    x = 390.67

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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.