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Finding the Fourth Proportional to 70.52, 97.32 and 67.28

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Solution

The fourth proportional to 70.52, 97.32 and 67.28 is: 92.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.52 : 97.32 = 67.28 : x
  2. Step 2: Convert to fraction form
    70.52/97.32 = 67.28/x
  3. Step 3: Cross multiply
    70.52x = 97.32 × 67.28
  4. Step 4: Simplify right side
    70.52x = 6,547.69
  5. Step 5: Solve for x
    x = 6,547.69/70.52
  6. Step 6: Final answer
    x = 92.85

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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.