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Finding the Fourth Proportional to 118.16, 162.91 and 87.08

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Solution

The fourth proportional to 118.16, 162.91 and 87.08 is: 120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.16 : 162.91 = 87.08 : x
  2. Step 2: Convert to fraction form
    118.16/162.91 = 87.08/x
  3. Step 3: Cross multiply
    118.16x = 162.91 × 87.08
  4. Step 4: Simplify right side
    118.16x = 14,185.50
  5. Step 5: Solve for x
    x = 14,185.50/118.16
  6. Step 6: Final answer
    x = 120.05

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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.