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Finding the Fourth Proportional to 155.52, 232.08 and 154.32

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Solution

The fourth proportional to 155.52, 232.08 and 154.32 is: 230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.52 : 232.08 = 154.32 : x
  2. Step 2: Convert to fraction form
    155.52/232.08 = 154.32/x
  3. Step 3: Cross multiply
    155.52x = 232.08 × 154.32
  4. Step 4: Simplify right side
    155.52x = 35,814.59
  5. Step 5: Solve for x
    x = 35,814.59/155.52
  6. Step 6: Final answer
    x = 230.29

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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.