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Finding the Fourth Proportional to 421.17, 631.80 and 147.23

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Solution

The fourth proportional to 421.17, 631.80 and 147.23 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.17 : 631.80 = 147.23 : x
  2. Step 2: Convert to fraction form
    421.17/631.80 = 147.23/x
  3. Step 3: Cross multiply
    421.17x = 631.80 × 147.23
  4. Step 4: Simplify right side
    421.17x = 93,019.91
  5. Step 5: Solve for x
    x = 93,019.91/421.17
  6. Step 6: Final answer
    x = 220.86

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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.