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Finding the Fourth Proportional to 150.58, 224.15 and 143.65

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Solution

The fourth proportional to 150.58, 224.15 and 143.65 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.58 : 224.15 = 143.65 : x
  2. Step 2: Convert to fraction form
    150.58/224.15 = 143.65/x
  3. Step 3: Cross multiply
    150.58x = 224.15 × 143.65
  4. Step 4: Simplify right side
    150.58x = 32,199.15
  5. Step 5: Solve for x
    x = 32,199.15/150.58
  6. Step 6: Final answer
    x = 213.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.