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Finding the Fourth Proportional to 328.65, 489.87 and 292.20

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Solution

The fourth proportional to 328.65, 489.87 and 292.20 is: 435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.65 : 489.87 = 292.20 : x
  2. Step 2: Convert to fraction form
    328.65/489.87 = 292.20/x
  3. Step 3: Cross multiply
    328.65x = 489.87 × 292.20
  4. Step 4: Simplify right side
    328.65x = 143,140.01
  5. Step 5: Solve for x
    x = 143,140.01/328.65
  6. Step 6: Final answer
    x = 435.54

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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.