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Finding the Fourth Proportional to 155.60, 232.01 and 152.87

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Solution

The fourth proportional to 155.60, 232.01 and 152.87 is: 227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.60 : 232.01 = 152.87 : x
  2. Step 2: Convert to fraction form
    155.60/232.01 = 152.87/x
  3. Step 3: Cross multiply
    155.60x = 232.01 × 152.87
  4. Step 4: Simplify right side
    155.60x = 35,465.44
  5. Step 5: Solve for x
    x = 35,465.44/155.60
  6. Step 6: Final answer
    x = 227.93

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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.