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Finding the Fourth Proportional to 320.55, 479.80 and 222.94

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Solution

The fourth proportional to 320.55, 479.80 and 222.94 is: 333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.55 : 479.80 = 222.94 : x
  2. Step 2: Convert to fraction form
    320.55/479.80 = 222.94/x
  3. Step 3: Cross multiply
    320.55x = 479.80 × 222.94
  4. Step 4: Simplify right side
    320.55x = 106,966.61
  5. Step 5: Solve for x
    x = 106,966.61/320.55
  6. Step 6: Final answer
    x = 333.70

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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.