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Finding the Fourth Proportional to 328.60, 489.92 and 320.05

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Solution

The fourth proportional to 328.60, 489.92 and 320.05 is: 477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.60 : 489.92 = 320.05 : x
  2. Step 2: Convert to fraction form
    328.60/489.92 = 320.05/x
  3. Step 3: Cross multiply
    328.60x = 489.92 × 320.05
  4. Step 4: Simplify right side
    328.60x = 156,798.90
  5. Step 5: Solve for x
    x = 156,798.90/328.60
  6. Step 6: Final answer
    x = 477.17

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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.