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Finding the Fourth Proportional to 155.72, 232.62 and 152.69

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Solution

The fourth proportional to 155.72, 232.62 and 152.69 is: 228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.72 : 232.62 = 152.69 : x
  2. Step 2: Convert to fraction form
    155.72/232.62 = 152.69/x
  3. Step 3: Cross multiply
    155.72x = 232.62 × 152.69
  4. Step 4: Simplify right side
    155.72x = 35,517.87
  5. Step 5: Solve for x
    x = 35,517.87/155.72
  6. Step 6: Final answer
    x = 228.08

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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.