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Finding the Fourth Proportional to 666.15, 999.23 and 281.13

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Solution

The fourth proportional to 666.15, 999.23 and 281.13 is: 421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.15 : 999.23 = 281.13 : x
  2. Step 2: Convert to fraction form
    666.15/999.23 = 281.13/x
  3. Step 3: Cross multiply
    666.15x = 999.23 × 281.13
  4. Step 4: Simplify right side
    666.15x = 280,913.53
  5. Step 5: Solve for x
    x = 280,913.53/666.15
  6. Step 6: Final answer
    x = 421.70

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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.