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Finding the Fourth Proportional to 79.16, 109.17 and 65.41

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Solution

The fourth proportional to 79.16, 109.17 and 65.41 is: 90.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.16 : 109.17 = 65.41 : x
  2. Step 2: Convert to fraction form
    79.16/109.17 = 65.41/x
  3. Step 3: Cross multiply
    79.16x = 109.17 × 65.41
  4. Step 4: Simplify right side
    79.16x = 7,140.54
  5. Step 5: Solve for x
    x = 7,140.54/79.16
  6. Step 6: Final answer
    x = 90.21

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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.