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Finding the Fourth Proportional to 308.50, 425.59 and 202.17

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Solution

The fourth proportional to 308.50, 425.59 and 202.17 is: 278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.50 : 425.59 = 202.17 : x
  2. Step 2: Convert to fraction form
    308.50/425.59 = 202.17/x
  3. Step 3: Cross multiply
    308.50x = 425.59 × 202.17
  4. Step 4: Simplify right side
    308.50x = 86,041.53
  5. Step 5: Solve for x
    x = 86,041.53/308.50
  6. Step 6: Final answer
    x = 278.90

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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.