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Finding the Fourth Proportional to 156.25, 232.85 and 151.55

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Solution

The fourth proportional to 156.25, 232.85 and 151.55 is: 225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.25 : 232.85 = 151.55 : x
  2. Step 2: Convert to fraction form
    156.25/232.85 = 151.55/x
  3. Step 3: Cross multiply
    156.25x = 232.85 × 151.55
  4. Step 4: Simplify right side
    156.25x = 35,288.24
  5. Step 5: Solve for x
    x = 35,288.24/156.25
  6. Step 6: Final answer
    x = 225.85

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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.