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Finding the Fourth Proportional to 143.95, 215.75 and 70.85

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Solution

The fourth proportional to 143.95, 215.75 and 70.85 is: 106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.95 : 215.75 = 70.85 : x
  2. Step 2: Convert to fraction form
    143.95/215.75 = 70.85/x
  3. Step 3: Cross multiply
    143.95x = 215.75 × 70.85
  4. Step 4: Simplify right side
    143.95x = 15,286.61
  5. Step 5: Solve for x
    x = 15,286.61/143.95
  6. Step 6: Final answer
    x = 106.20

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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.