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Finding the Fourth Proportional to 147.89, 221.62 and 101.57

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Solution

The fourth proportional to 147.89, 221.62 and 101.57 is: 152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.89 : 221.62 = 101.57 : x
  2. Step 2: Convert to fraction form
    147.89/221.62 = 101.57/x
  3. Step 3: Cross multiply
    147.89x = 221.62 × 101.57
  4. Step 4: Simplify right side
    147.89x = 22,509.94
  5. Step 5: Solve for x
    x = 22,509.94/147.89
  6. Step 6: Final answer
    x = 152.21

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