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Finding the Fourth Proportional to 394.50, 591.80 and 202.17

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Solution

The fourth proportional to 394.50, 591.80 and 202.17 is: 303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.50 : 591.80 = 202.17 : x
  2. Step 2: Convert to fraction form
    394.50/591.80 = 202.17/x
  3. Step 3: Cross multiply
    394.50x = 591.80 × 202.17
  4. Step 4: Simplify right side
    394.50x = 119,643.20
  5. Step 5: Solve for x
    x = 119,643.20/394.50
  6. Step 6: Final answer
    x = 303.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.