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Finding the Fourth Proportional to 158.52, 217.59 and 136.65

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Solution

The fourth proportional to 158.52, 217.59 and 136.65 is: 187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.52 : 217.59 = 136.65 : x
  2. Step 2: Convert to fraction form
    158.52/217.59 = 136.65/x
  3. Step 3: Cross multiply
    158.52x = 217.59 × 136.65
  4. Step 4: Simplify right side
    158.52x = 29,733.67
  5. Step 5: Solve for x
    x = 29,733.67/158.52
  6. Step 6: Final answer
    x = 187.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.