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Finding the Fourth Proportional to 155.44, 232.16 and 140.77

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Solution

The fourth proportional to 155.44, 232.16 and 140.77 is: 210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.44 : 232.16 = 140.77 : x
  2. Step 2: Convert to fraction form
    155.44/232.16 = 140.77/x
  3. Step 3: Cross multiply
    155.44x = 232.16 × 140.77
  4. Step 4: Simplify right side
    155.44x = 32,680.46
  5. Step 5: Solve for x
    x = 32,680.46/155.44
  6. Step 6: Final answer
    x = 210.25

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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.