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Finding the Fourth Proportional to 278.40, 414.72 and 253.44

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Solution

The fourth proportional to 278.40, 414.72 and 253.44 is: 377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.40 : 414.72 = 253.44 : x
  2. Step 2: Convert to fraction form
    278.40/414.72 = 253.44/x
  3. Step 3: Cross multiply
    278.40x = 414.72 × 253.44
  4. Step 4: Simplify right side
    278.40x = 105,106.64
  5. Step 5: Solve for x
    x = 105,106.64/278.40
  6. Step 6: Final answer
    x = 377.54

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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.