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Finding the Fourth Proportional to 147.06, 217.98 and 144.76

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Solution

The fourth proportional to 147.06, 217.98 and 144.76 is: 214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.06 : 217.98 = 144.76 : x
  2. Step 2: Convert to fraction form
    147.06/217.98 = 144.76/x
  3. Step 3: Cross multiply
    147.06x = 217.98 × 144.76
  4. Step 4: Simplify right side
    147.06x = 31,554.78
  5. Step 5: Solve for x
    x = 31,554.78/147.06
  6. Step 6: Final answer
    x = 214.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.