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Finding the Fourth Proportional to 278.17, 383.04 and 243.22

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Solution

The fourth proportional to 278.17, 383.04 and 243.22 is: 334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.17 : 383.04 = 243.22 : x
  2. Step 2: Convert to fraction form
    278.17/383.04 = 243.22/x
  3. Step 3: Cross multiply
    278.17x = 383.04 × 243.22
  4. Step 4: Simplify right side
    278.17x = 93,162.99
  5. Step 5: Solve for x
    x = 93,162.99/278.17
  6. Step 6: Final answer
    x = 334.91

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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.