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Finding the Fourth Proportional to 118.52, 162.15 and 118.01

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Solution

The fourth proportional to 118.52, 162.15 and 118.01 is: 161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.52 : 162.15 = 118.01 : x
  2. Step 2: Convert to fraction form
    118.52/162.15 = 118.01/x
  3. Step 3: Cross multiply
    118.52x = 162.15 × 118.01
  4. Step 4: Simplify right side
    118.52x = 19,134.22
  5. Step 5: Solve for x
    x = 19,134.22/118.52
  6. Step 6: Final answer
    x = 161.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.