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Finding the Fourth Proportional to 147.32, 222.16 and 144.59

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Solution

The fourth proportional to 147.32, 222.16 and 144.59 is: 218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.32 : 222.16 = 144.59 : x
  2. Step 2: Convert to fraction form
    147.32/222.16 = 144.59/x
  3. Step 3: Cross multiply
    147.32x = 222.16 × 144.59
  4. Step 4: Simplify right side
    147.32x = 32,121.39
  5. Step 5: Solve for x
    x = 32,121.39/147.32
  6. Step 6: Final answer
    x = 218.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.