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Finding the Fourth Proportional to 148.66, 221.48 and 142.45

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Solution

The fourth proportional to 148.66, 221.48 and 142.45 is: 212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.66 : 221.48 = 142.45 : x
  2. Step 2: Convert to fraction form
    148.66/221.48 = 142.45/x
  3. Step 3: Cross multiply
    148.66x = 221.48 × 142.45
  4. Step 4: Simplify right side
    148.66x = 31,549.83
  5. Step 5: Solve for x
    x = 31,549.83/148.66
  6. Step 6: Final answer
    x = 212.23

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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.