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Finding the Fourth Proportional to 278.90, 416.69 and 224.22

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Solution

The fourth proportional to 278.90, 416.69 and 224.22 is: 335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.90 : 416.69 = 224.22 : x
  2. Step 2: Convert to fraction form
    278.90/416.69 = 224.22/x
  3. Step 3: Cross multiply
    278.90x = 416.69 × 224.22
  4. Step 4: Simplify right side
    278.90x = 93,430.23
  5. Step 5: Solve for x
    x = 93,430.23/278.90
  6. Step 6: Final answer
    x = 335.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.