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Finding the Fourth Proportional to 143.44, 214.60 and 117.52

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Solution

The fourth proportional to 143.44, 214.60 and 117.52 is: 175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.44 : 214.60 = 117.52 : x
  2. Step 2: Convert to fraction form
    143.44/214.60 = 117.52/x
  3. Step 3: Cross multiply
    143.44x = 214.60 × 117.52
  4. Step 4: Simplify right side
    143.44x = 25,219.79
  5. Step 5: Solve for x
    x = 25,219.79/143.44
  6. Step 6: Final answer
    x = 175.82

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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.