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Finding the Fourth Proportional to 278.19, 414.90 and 253.89

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Solution

The fourth proportional to 278.19, 414.90 and 253.89 is: 378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.19 : 414.90 = 253.89 : x
  2. Step 2: Convert to fraction form
    278.19/414.90 = 253.89/x
  3. Step 3: Cross multiply
    278.19x = 414.90 × 253.89
  4. Step 4: Simplify right side
    278.19x = 105,338.96
  5. Step 5: Solve for x
    x = 105,338.96/278.19
  6. Step 6: Final answer
    x = 378.66

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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.