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Finding the Fourth Proportional to 320.06, 479.78 and 242.80

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Solution

The fourth proportional to 320.06, 479.78 and 242.80 is: 363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.06 : 479.78 = 242.80 : x
  2. Step 2: Convert to fraction form
    320.06/479.78 = 242.80/x
  3. Step 3: Cross multiply
    320.06x = 479.78 × 242.80
  4. Step 4: Simplify right side
    320.06x = 116,490.58
  5. Step 5: Solve for x
    x = 116,490.58/320.06
  6. Step 6: Final answer
    x = 363.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.