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Finding the Fourth Proportional to 147.89, 221.36 and 101.94

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Solution

The fourth proportional to 147.89, 221.36 and 101.94 is: 152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.89 : 221.36 = 101.94 : x
  2. Step 2: Convert to fraction form
    147.89/221.36 = 101.94/x
  3. Step 3: Cross multiply
    147.89x = 221.36 × 101.94
  4. Step 4: Simplify right side
    147.89x = 22,564.93
  5. Step 5: Solve for x
    x = 22,564.93/147.89
  6. Step 6: Final answer
    x = 152.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.