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Finding the Fourth Proportional to 247.25, 369.96 and 144.59

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Solution

The fourth proportional to 247.25, 369.96 and 144.59 is: 216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.25 : 369.96 = 144.59 : x
  2. Step 2: Convert to fraction form
    247.25/369.96 = 144.59/x
  3. Step 3: Cross multiply
    247.25x = 369.96 × 144.59
  4. Step 4: Simplify right side
    247.25x = 53,492.52
  5. Step 5: Solve for x
    x = 53,492.52/247.25
  6. Step 6: Final answer
    x = 216.35

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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.