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Finding the Fourth Proportional to 118.04, 162.80 and 106.26

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Solution

The fourth proportional to 118.04, 162.80 and 106.26 is: 146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.04 : 162.80 = 106.26 : x
  2. Step 2: Convert to fraction form
    118.04/162.80 = 106.26/x
  3. Step 3: Cross multiply
    118.04x = 162.80 × 106.26
  4. Step 4: Simplify right side
    118.04x = 17,299.13
  5. Step 5: Solve for x
    x = 17,299.13/118.04
  6. Step 6: Final answer
    x = 146.55

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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.