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Finding the Fourth Proportional to 666.26, 999.17 and 233.32

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Solution

The fourth proportional to 666.26, 999.17 and 233.32 is: 349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.26 : 999.17 = 233.32 : x
  2. Step 2: Convert to fraction form
    666.26/999.17 = 233.32/x
  3. Step 3: Cross multiply
    666.26x = 999.17 × 233.32
  4. Step 4: Simplify right side
    666.26x = 233,121.35
  5. Step 5: Solve for x
    x = 233,121.35/666.26
  6. Step 6: Final answer
    x = 349.90

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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.