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Finding the Fourth Proportional to 373.67, 560.40 and 142.68

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Solution

The fourth proportional to 373.67, 560.40 and 142.68 is: 213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.67 : 560.40 = 142.68 : x
  2. Step 2: Convert to fraction form
    373.67/560.40 = 142.68/x
  3. Step 3: Cross multiply
    373.67x = 560.40 × 142.68
  4. Step 4: Simplify right side
    373.67x = 79,957.87
  5. Step 5: Solve for x
    x = 79,957.87/373.67
  6. Step 6: Final answer
    x = 213.98

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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.