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Finding the Fourth Proportional to 145.82, 217.88 and 142.76

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Solution

The fourth proportional to 145.82, 217.88 and 142.76 is: 213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.82 : 217.88 = 142.76 : x
  2. Step 2: Convert to fraction form
    145.82/217.88 = 142.76/x
  3. Step 3: Cross multiply
    145.82x = 217.88 × 142.76
  4. Step 4: Simplify right side
    145.82x = 31,102.75
  5. Step 5: Solve for x
    x = 31,102.75/145.82
  6. Step 6: Final answer
    x = 213.30

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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.