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Finding the Fourth Proportional to 70.31, 97.04 and 42.70

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Solution

The fourth proportional to 70.31, 97.04 and 42.70 is: 58.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.31 : 97.04 = 42.70 : x
  2. Step 2: Convert to fraction form
    70.31/97.04 = 42.70/x
  3. Step 3: Cross multiply
    70.31x = 97.04 × 42.70
  4. Step 4: Simplify right side
    70.31x = 4,143.61
  5. Step 5: Solve for x
    x = 4,143.61/70.31
  6. Step 6: Final answer
    x = 58.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.