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Finding the Fourth Proportional to 320.46, 442.07 and 202.22

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Solution

The fourth proportional to 320.46, 442.07 and 202.22 is: 278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.46 : 442.07 = 202.22 : x
  2. Step 2: Convert to fraction form
    320.46/442.07 = 202.22/x
  3. Step 3: Cross multiply
    320.46x = 442.07 × 202.22
  4. Step 4: Simplify right side
    320.46x = 89,392.17
  5. Step 5: Solve for x
    x = 89,392.17/320.46
  6. Step 6: Final answer
    x = 278.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.