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Finding the Fourth Proportional to 151.02, 208.18 and 118.22

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Solution

The fourth proportional to 151.02, 208.18 and 118.22 is: 162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.02 : 208.18 = 118.22 : x
  2. Step 2: Convert to fraction form
    151.02/208.18 = 118.22/x
  3. Step 3: Cross multiply
    151.02x = 208.18 × 118.22
  4. Step 4: Simplify right side
    151.02x = 24,609.70
  5. Step 5: Solve for x
    x = 24,609.70/151.02
  6. Step 6: Final answer
    x = 162.96

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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.