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Finding the Fourth Proportional to 155.84, 232.56 and 140.48

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Solution

The fourth proportional to 155.84, 232.56 and 140.48 is: 209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.84 : 232.56 = 140.48 : x
  2. Step 2: Convert to fraction form
    155.84/232.56 = 140.48/x
  3. Step 3: Cross multiply
    155.84x = 232.56 × 140.48
  4. Step 4: Simplify right side
    155.84x = 32,670.03
  5. Step 5: Solve for x
    x = 32,670.03/155.84
  6. Step 6: Final answer
    x = 209.64

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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.