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Finding the Fourth Proportional to 278.84, 415.99 and 275.20

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Solution

The fourth proportional to 278.84, 415.99 and 275.20 is: 410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 415.99 = 275.20 : x
  2. Step 2: Convert to fraction form
    278.84/415.99 = 275.20/x
  3. Step 3: Cross multiply
    278.84x = 415.99 × 275.20
  4. Step 4: Simplify right side
    278.84x = 114,478.20
  5. Step 5: Solve for x
    x = 114,478.20/278.84
  6. Step 6: Final answer
    x = 410.55

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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.