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Finding the Fourth Proportional to 343.65, 474.45 and 217.80

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Solution

The fourth proportional to 343.65, 474.45 and 217.80 is: 300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.65 : 474.45 = 217.80 : x
  2. Step 2: Convert to fraction form
    343.65/474.45 = 217.80/x
  3. Step 3: Cross multiply
    343.65x = 474.45 × 217.80
  4. Step 4: Simplify right side
    343.65x = 103,335.21
  5. Step 5: Solve for x
    x = 103,335.21/343.65
  6. Step 6: Final answer
    x = 300.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.