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Finding the Fourth Proportional to 118.16, 162.92 and 84.98

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Solution

The fourth proportional to 118.16, 162.92 and 84.98 is: 117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.16 : 162.92 = 84.98 : x
  2. Step 2: Convert to fraction form
    118.16/162.92 = 84.98/x
  3. Step 3: Cross multiply
    118.16x = 162.92 × 84.98
  4. Step 4: Simplify right side
    118.16x = 13,844.94
  5. Step 5: Solve for x
    x = 13,844.94/118.16
  6. Step 6: Final answer
    x = 117.17

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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.