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Finding the Fourth Proportional to 439.71, 659.15 and 150.95

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Solution

The fourth proportional to 439.71, 659.15 and 150.95 is: 226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.71 : 659.15 = 150.95 : x
  2. Step 2: Convert to fraction form
    439.71/659.15 = 150.95/x
  3. Step 3: Cross multiply
    439.71x = 659.15 × 150.95
  4. Step 4: Simplify right side
    439.71x = 99,495.77
  5. Step 5: Solve for x
    x = 99,495.77/439.71
  6. Step 6: Final answer
    x = 226.28

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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.