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Finding the Fourth Proportional to 421.95, 632.12 and 239.47

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Solution

The fourth proportional to 421.95, 632.12 and 239.47 is: 358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.95 : 632.12 = 239.47 : x
  2. Step 2: Convert to fraction form
    421.95/632.12 = 239.47/x
  3. Step 3: Cross multiply
    421.95x = 632.12 × 239.47
  4. Step 4: Simplify right side
    421.95x = 151,373.78
  5. Step 5: Solve for x
    x = 151,373.78/421.95
  6. Step 6: Final answer
    x = 358.75

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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.