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Finding the Fourth Proportional to 278.90, 385.54 and 224.18

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Solution

The fourth proportional to 278.90, 385.54 and 224.18 is: 309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.90 : 385.54 = 224.18 : x
  2. Step 2: Convert to fraction form
    278.90/385.54 = 224.18/x
  3. Step 3: Cross multiply
    278.90x = 385.54 × 224.18
  4. Step 4: Simplify right side
    278.90x = 86,430.36
  5. Step 5: Solve for x
    x = 86,430.36/278.90
  6. Step 6: Final answer
    x = 309.90

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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.