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Finding the Fourth Proportional to 148.84, 221.84 and 141.52

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Solution

The fourth proportional to 148.84, 221.84 and 141.52 is: 210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.84 : 221.84 = 141.52 : x
  2. Step 2: Convert to fraction form
    148.84/221.84 = 141.52/x
  3. Step 3: Cross multiply
    148.84x = 221.84 × 141.52
  4. Step 4: Simplify right side
    148.84x = 31,394.80
  5. Step 5: Solve for x
    x = 31,394.80/148.84
  6. Step 6: Final answer
    x = 210.93

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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.