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Finding the Fourth Proportional to 514.81, 772.08 and 149.50

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Solution

The fourth proportional to 514.81, 772.08 and 149.50 is: 224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.81 : 772.08 = 149.50 : x
  2. Step 2: Convert to fraction form
    514.81/772.08 = 149.50/x
  3. Step 3: Cross multiply
    514.81x = 772.08 × 149.50
  4. Step 4: Simplify right side
    514.81x = 115,425.96
  5. Step 5: Solve for x
    x = 115,425.96/514.81
  6. Step 6: Final answer
    x = 224.21

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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.