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Finding the Fourth Proportional to 202.80, 279.65 and 147.57

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Solution

The fourth proportional to 202.80, 279.65 and 147.57 is: 203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 279.65 = 147.57 : x
  2. Step 2: Convert to fraction form
    202.80/279.65 = 147.57/x
  3. Step 3: Cross multiply
    202.80x = 279.65 × 147.57
  4. Step 4: Simplify right side
    202.80x = 41,267.21
  5. Step 5: Solve for x
    x = 41,267.21/202.80
  6. Step 6: Final answer
    x = 203.49

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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.