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Finding the Fourth Proportional to 143.16, 215.14 and 91.92

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Solution

The fourth proportional to 143.16, 215.14 and 91.92 is: 138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.16 : 215.14 = 91.92 : x
  2. Step 2: Convert to fraction form
    143.16/215.14 = 91.92/x
  3. Step 3: Cross multiply
    143.16x = 215.14 × 91.92
  4. Step 4: Simplify right side
    143.16x = 19,775.67
  5. Step 5: Solve for x
    x = 19,775.67/143.16
  6. Step 6: Final answer
    x = 138.14

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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.