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Finding the Fourth Proportional to 92.18, 126.98 and 86.51

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Solution

The fourth proportional to 92.18, 126.98 and 86.51 is: 119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.18 : 126.98 = 86.51 : x
  2. Step 2: Convert to fraction form
    92.18/126.98 = 86.51/x
  3. Step 3: Cross multiply
    92.18x = 126.98 × 86.51
  4. Step 4: Simplify right side
    92.18x = 10,985.04
  5. Step 5: Solve for x
    x = 10,985.04/92.18
  6. Step 6: Final answer
    x = 119.17

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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.