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Finding the Fourth Proportional to 147.57, 220.05 and 144.08

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Solution

The fourth proportional to 147.57, 220.05 and 144.08 is: 214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.57 : 220.05 = 144.08 : x
  2. Step 2: Convert to fraction form
    147.57/220.05 = 144.08/x
  3. Step 3: Cross multiply
    147.57x = 220.05 × 144.08
  4. Step 4: Simplify right side
    147.57x = 31,703.70
  5. Step 5: Solve for x
    x = 31,703.70/147.57
  6. Step 6: Final answer
    x = 214.84

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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.