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Finding the Fourth Proportional to 143.64, 213.75 and 142.52

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Solution

The fourth proportional to 143.64, 213.75 and 142.52 is: 212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.64 : 213.75 = 142.52 : x
  2. Step 2: Convert to fraction form
    143.64/213.75 = 142.52/x
  3. Step 3: Cross multiply
    143.64x = 213.75 × 142.52
  4. Step 4: Simplify right side
    143.64x = 30,462.58
  5. Step 5: Solve for x
    x = 30,462.58/143.64
  6. Step 6: Final answer
    x = 212.08

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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.