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Finding the Fourth Proportional to 118.40, 162.88 and 116.16

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Solution

The fourth proportional to 118.40, 162.88 and 116.16 is: 159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.40 : 162.88 = 116.16 : x
  2. Step 2: Convert to fraction form
    118.40/162.88 = 116.16/x
  3. Step 3: Cross multiply
    118.40x = 162.88 × 116.16
  4. Step 4: Simplify right side
    118.40x = 18,920.14
  5. Step 5: Solve for x
    x = 18,920.14/118.40
  6. Step 6: Final answer
    x = 159.80

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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.