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Finding the Fourth Proportional to 144.72, 217.02 and 52.15

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Solution

The fourth proportional to 144.72, 217.02 and 52.15 is: 78.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.72 : 217.02 = 52.15 : x
  2. Step 2: Convert to fraction form
    144.72/217.02 = 52.15/x
  3. Step 3: Cross multiply
    144.72x = 217.02 × 52.15
  4. Step 4: Simplify right side
    144.72x = 11,316.51
  5. Step 5: Solve for x
    x = 11,316.51/144.72
  6. Step 6: Final answer
    x = 78.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.