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Finding the Fourth Proportional to 278.53, 419.25 and 253.92

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Solution

The fourth proportional to 278.53, 419.25 and 253.92 is: 382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.53 : 419.25 = 253.92 : x
  2. Step 2: Convert to fraction form
    278.53/419.25 = 253.92/x
  3. Step 3: Cross multiply
    278.53x = 419.25 × 253.92
  4. Step 4: Simplify right side
    278.53x = 106,458.48
  5. Step 5: Solve for x
    x = 106,458.48/278.53
  6. Step 6: Final answer
    x = 382.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.