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Finding the Fourth Proportional to 155.58, 232.14 and 140.24

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Solution

The fourth proportional to 155.58, 232.14 and 140.24 is: 209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.58 : 232.14 = 140.24 : x
  2. Step 2: Convert to fraction form
    155.58/232.14 = 140.24/x
  3. Step 3: Cross multiply
    155.58x = 232.14 × 140.24
  4. Step 4: Simplify right side
    155.58x = 32,555.31
  5. Step 5: Solve for x
    x = 32,555.31/155.58
  6. Step 6: Final answer
    x = 209.25

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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.