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Finding the Fourth Proportional to 76.39, 113.98 and 70.32

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Solution

The fourth proportional to 76.39, 113.98 and 70.32 is: 104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.39 : 113.98 = 70.32 : x
  2. Step 2: Convert to fraction form
    76.39/113.98 = 70.32/x
  3. Step 3: Cross multiply
    76.39x = 113.98 × 70.32
  4. Step 4: Simplify right side
    76.39x = 8,015.07
  5. Step 5: Solve for x
    x = 8,015.07/76.39
  6. Step 6: Final answer
    x = 104.92

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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.