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Finding the Fourth Proportional to 285.97, 428.38 and 209.10

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Solution

The fourth proportional to 285.97, 428.38 and 209.10 is: 313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.97 : 428.38 = 209.10 : x
  2. Step 2: Convert to fraction form
    285.97/428.38 = 209.10/x
  3. Step 3: Cross multiply
    285.97x = 428.38 × 209.10
  4. Step 4: Simplify right side
    285.97x = 89,574.26
  5. Step 5: Solve for x
    x = 89,574.26/285.97
  6. Step 6: Final answer
    x = 313.23

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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.