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Finding the Fourth Proportional to 421.83, 632.70 and 147.93

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Solution

The fourth proportional to 421.83, 632.70 and 147.93 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.83 : 632.70 = 147.93 : x
  2. Step 2: Convert to fraction form
    421.83/632.70 = 147.93/x
  3. Step 3: Cross multiply
    421.83x = 632.70 × 147.93
  4. Step 4: Simplify right side
    421.83x = 93,595.31
  5. Step 5: Solve for x
    x = 93,595.31/421.83
  6. Step 6: Final answer
    x = 221.88

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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.