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Finding the Fourth Proportional to 202.30, 278.96 and 136.69

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Solution

The fourth proportional to 202.30, 278.96 and 136.69 is: 188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.30 : 278.96 = 136.69 : x
  2. Step 2: Convert to fraction form
    202.30/278.96 = 136.69/x
  3. Step 3: Cross multiply
    202.30x = 278.96 × 136.69
  4. Step 4: Simplify right side
    202.30x = 38,130.71
  5. Step 5: Solve for x
    x = 38,130.71/202.30
  6. Step 6: Final answer
    x = 188.48

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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.