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Finding the Fourth Proportional to 155.64, 232.31 and 137.41

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Solution

The fourth proportional to 155.64, 232.31 and 137.41 is: 205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.64 : 232.31 = 137.41 : x
  2. Step 2: Convert to fraction form
    155.64/232.31 = 137.41/x
  3. Step 3: Cross multiply
    155.64x = 232.31 × 137.41
  4. Step 4: Simplify right side
    155.64x = 31,921.72
  5. Step 5: Solve for x
    x = 31,921.72/155.64
  6. Step 6: Final answer
    x = 205.10

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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.