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Finding the Fourth Proportional to 162.97, 245.39 and 135.79

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Solution

The fourth proportional to 162.97, 245.39 and 135.79 is: 204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.97 : 245.39 = 135.79 : x
  2. Step 2: Convert to fraction form
    162.97/245.39 = 135.79/x
  3. Step 3: Cross multiply
    162.97x = 245.39 × 135.79
  4. Step 4: Simplify right side
    162.97x = 33,320.28
  5. Step 5: Solve for x
    x = 33,320.28/162.97
  6. Step 6: Final answer
    x = 204.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.