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Finding the Fourth Proportional to 147.61, 201.16 and 147.07

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Solution

The fourth proportional to 147.61, 201.16 and 147.07 is: 200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.61 : 201.16 = 147.07 : x
  2. Step 2: Convert to fraction form
    147.61/201.16 = 147.07/x
  3. Step 3: Cross multiply
    147.61x = 201.16 × 147.07
  4. Step 4: Simplify right side
    147.61x = 29,584.60
  5. Step 5: Solve for x
    x = 29,584.60/147.61
  6. Step 6: Final answer
    x = 200.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.