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Finding the Fourth Proportional to 147.89, 220.74 and 144.86

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Solution

The fourth proportional to 147.89, 220.74 and 144.86 is: 216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.89 : 220.74 = 144.86 : x
  2. Step 2: Convert to fraction form
    147.89/220.74 = 144.86/x
  3. Step 3: Cross multiply
    147.89x = 220.74 × 144.86
  4. Step 4: Simplify right side
    147.89x = 31,975.29
  5. Step 5: Solve for x
    x = 31,975.29/147.89
  6. Step 6: Final answer
    x = 216.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.