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Finding the Fourth Proportional to 147.66, 219.68 and 141.90

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Solution

The fourth proportional to 147.66, 219.68 and 141.90 is: 211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.66 : 219.68 = 141.90 : x
  2. Step 2: Convert to fraction form
    147.66/219.68 = 141.90/x
  3. Step 3: Cross multiply
    147.66x = 219.68 × 141.90
  4. Step 4: Simplify right side
    147.66x = 31,171.88
  5. Step 5: Solve for x
    x = 31,171.88/147.66
  6. Step 6: Final answer
    x = 211.11

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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.