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Finding the Fourth Proportional to 202.45, 279.38 and 158.24

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Solution

The fourth proportional to 202.45, 279.38 and 158.24 is: 218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.45 : 279.38 = 158.24 : x
  2. Step 2: Convert to fraction form
    202.45/279.38 = 158.24/x
  3. Step 3: Cross multiply
    202.45x = 279.38 × 158.24
  4. Step 4: Simplify right side
    202.45x = 44,209.49
  5. Step 5: Solve for x
    x = 44,209.49/202.45
  6. Step 6: Final answer
    x = 218.38

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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.