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Finding the Fourth Proportional to 328.10, 489.87 and 297.32

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Solution

The fourth proportional to 328.10, 489.87 and 297.32 is: 443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.10 : 489.87 = 297.32 : x
  2. Step 2: Convert to fraction form
    328.10/489.87 = 297.32/x
  3. Step 3: Cross multiply
    328.10x = 489.87 × 297.32
  4. Step 4: Simplify right side
    328.10x = 145,645.70
  5. Step 5: Solve for x
    x = 145,645.70/328.10
  6. Step 6: Final answer
    x = 443.91

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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.