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Finding the Fourth Proportional to 421.13, 631.69 and 147.14

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Solution

The fourth proportional to 421.13, 631.69 and 147.14 is: 220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.13 : 631.69 = 147.14 : x
  2. Step 2: Convert to fraction form
    421.13/631.69 = 147.14/x
  3. Step 3: Cross multiply
    421.13x = 631.69 × 147.14
  4. Step 4: Simplify right side
    421.13x = 92,948.08
  5. Step 5: Solve for x
    x = 92,948.08/421.13
  6. Step 6: Final answer
    x = 220.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.