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Finding the Fourth Proportional to 278.64, 420.24 and 248.52

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Solution

The fourth proportional to 278.64, 420.24 and 248.52 is: 374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.64 : 420.24 = 248.52 : x
  2. Step 2: Convert to fraction form
    278.64/420.24 = 248.52/x
  3. Step 3: Cross multiply
    278.64x = 420.24 × 248.52
  4. Step 4: Simplify right side
    278.64x = 104,438.04
  5. Step 5: Solve for x
    x = 104,438.04/278.64
  6. Step 6: Final answer
    x = 374.81

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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.