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Finding the Fourth Proportional to 560.17, 839.51 and 251.97

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Solution

The fourth proportional to 560.17, 839.51 and 251.97 is: 377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.17 : 839.51 = 251.97 : x
  2. Step 2: Convert to fraction form
    560.17/839.51 = 251.97/x
  3. Step 3: Cross multiply
    560.17x = 839.51 × 251.97
  4. Step 4: Simplify right side
    560.17x = 211,531.33
  5. Step 5: Solve for x
    x = 211,531.33/560.17
  6. Step 6: Final answer
    x = 377.62

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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.