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Finding the Fourth Proportional to 155.88, 215.16 and 106.88

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Solution

The fourth proportional to 155.88, 215.16 and 106.88 is: 147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.88 : 215.16 = 106.88 : x
  2. Step 2: Convert to fraction form
    155.88/215.16 = 106.88/x
  3. Step 3: Cross multiply
    155.88x = 215.16 × 106.88
  4. Step 4: Simplify right side
    155.88x = 22,996.30
  5. Step 5: Solve for x
    x = 22,996.30/155.88
  6. Step 6: Final answer
    x = 147.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.