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Finding the Fourth Proportional to 147.17, 201.50 and 146.66

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Solution

The fourth proportional to 147.17, 201.50 and 146.66 is: 200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.17 : 201.50 = 146.66 : x
  2. Step 2: Convert to fraction form
    147.17/201.50 = 146.66/x
  3. Step 3: Cross multiply
    147.17x = 201.50 × 146.66
  4. Step 4: Simplify right side
    147.17x = 29,551.07
  5. Step 5: Solve for x
    x = 29,551.07/147.17
  6. Step 6: Final answer
    x = 200.79

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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.