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Finding the Fourth Proportional to 320.95, 479.23 and 281.61

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Solution

The fourth proportional to 320.95, 479.23 and 281.61 is: 420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.95 : 479.23 = 281.61 : x
  2. Step 2: Convert to fraction form
    320.95/479.23 = 281.61/x
  3. Step 3: Cross multiply
    320.95x = 479.23 × 281.61
  4. Step 4: Simplify right side
    320.95x = 134,957.86
  5. Step 5: Solve for x
    x = 134,957.86/320.95
  6. Step 6: Final answer
    x = 420.50

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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.