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Finding the Fourth Proportional to 622.14, 932.37 and 237.18

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Solution

The fourth proportional to 622.14, 932.37 and 237.18 is: 355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.14 : 932.37 = 237.18 : x
  2. Step 2: Convert to fraction form
    622.14/932.37 = 237.18/x
  3. Step 3: Cross multiply
    622.14x = 932.37 × 237.18
  4. Step 4: Simplify right side
    622.14x = 221,139.52
  5. Step 5: Solve for x
    x = 221,139.52/622.14
  6. Step 6: Final answer
    x = 355.45

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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.