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Finding the Fourth Proportional to 144.57, 216.75 and 71.49

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Solution

The fourth proportional to 144.57, 216.75 and 71.49 is: 107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.57 : 216.75 = 71.49 : x
  2. Step 2: Convert to fraction form
    144.57/216.75 = 71.49/x
  3. Step 3: Cross multiply
    144.57x = 216.75 × 71.49
  4. Step 4: Simplify right side
    144.57x = 15,495.46
  5. Step 5: Solve for x
    x = 15,495.46/144.57
  6. Step 6: Final answer
    x = 107.18

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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.