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Finding the Fourth Proportional to 373.67, 560.33 and 200.31

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Solution

The fourth proportional to 373.67, 560.33 and 200.31 is: 300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.67 : 560.33 = 200.31 : x
  2. Step 2: Convert to fraction form
    373.67/560.33 = 200.31/x
  3. Step 3: Cross multiply
    373.67x = 560.33 × 200.31
  4. Step 4: Simplify right side
    373.67x = 112,237.35
  5. Step 5: Solve for x
    x = 112,237.35/373.67
  6. Step 6: Final answer
    x = 300.37

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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.