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Finding the Fourth Proportional to 155.72, 215.84 and 153.14

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Solution

The fourth proportional to 155.72, 215.84 and 153.14 is: 212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.72 : 215.84 = 153.14 : x
  2. Step 2: Convert to fraction form
    155.72/215.84 = 153.14/x
  3. Step 3: Cross multiply
    155.72x = 215.84 × 153.14
  4. Step 4: Simplify right side
    155.72x = 33,053.04
  5. Step 5: Solve for x
    x = 33,053.04/155.72
  6. Step 6: Final answer
    x = 212.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.