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Finding the Fourth Proportional to 421.98, 632.40 and 375.42

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Solution

The fourth proportional to 421.98, 632.40 and 375.42 is: 562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.98 : 632.40 = 375.42 : x
  2. Step 2: Convert to fraction form
    421.98/632.40 = 375.42/x
  3. Step 3: Cross multiply
    421.98x = 632.40 × 375.42
  4. Step 4: Simplify right side
    421.98x = 237,415.61
  5. Step 5: Solve for x
    x = 237,415.61/421.98
  6. Step 6: Final answer
    x = 562.62

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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.