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Finding the Fourth Proportional to 155.24, 233.02 and 143.72

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Solution

The fourth proportional to 155.24, 233.02 and 143.72 is: 215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.24 : 233.02 = 143.72 : x
  2. Step 2: Convert to fraction form
    155.24/233.02 = 143.72/x
  3. Step 3: Cross multiply
    155.24x = 233.02 × 143.72
  4. Step 4: Simplify right side
    155.24x = 33,489.63
  5. Step 5: Solve for x
    x = 33,489.63/155.24
  6. Step 6: Final answer
    x = 215.73

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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.