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Finding the Fourth Proportional to 148.18, 220.46 and 145.44

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Solution

The fourth proportional to 148.18, 220.46 and 145.44 is: 216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.18 : 220.46 = 145.44 : x
  2. Step 2: Convert to fraction form
    148.18/220.46 = 145.44/x
  3. Step 3: Cross multiply
    148.18x = 220.46 × 145.44
  4. Step 4: Simplify right side
    148.18x = 32,063.70
  5. Step 5: Solve for x
    x = 32,063.70/148.18
  6. Step 6: Final answer
    x = 216.38

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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.