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Finding the Fourth Proportional to 158.68, 217.55 and 146.62

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Solution

The fourth proportional to 158.68, 217.55 and 146.62 is: 201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.68 : 217.55 = 146.62 : x
  2. Step 2: Convert to fraction form
    158.68/217.55 = 146.62/x
  3. Step 3: Cross multiply
    158.68x = 217.55 × 146.62
  4. Step 4: Simplify right side
    158.68x = 31,897.18
  5. Step 5: Solve for x
    x = 31,897.18/158.68
  6. Step 6: Final answer
    x = 201.02

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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.