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Finding the Fourth Proportional to 297.16, 443.25 and 284.20

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Solution

The fourth proportional to 297.16, 443.25 and 284.20 is: 423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.16 : 443.25 = 284.20 : x
  2. Step 2: Convert to fraction form
    297.16/443.25 = 284.20/x
  3. Step 3: Cross multiply
    297.16x = 443.25 × 284.20
  4. Step 4: Simplify right side
    297.16x = 125,971.65
  5. Step 5: Solve for x
    x = 125,971.65/297.16
  6. Step 6: Final answer
    x = 423.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.