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Finding the Fourth Proportional to 560.76, 841.14 and 149.90

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Solution

The fourth proportional to 560.76, 841.14 and 149.90 is: 224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.76 : 841.14 = 149.90 : x
  2. Step 2: Convert to fraction form
    560.76/841.14 = 149.90/x
  3. Step 3: Cross multiply
    560.76x = 841.14 × 149.90
  4. Step 4: Simplify right side
    560.76x = 126,081.93
  5. Step 5: Solve for x
    x = 126,081.93/560.76
  6. Step 6: Final answer
    x = 224.84

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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.