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Finding the Fourth Proportional to 278.02, 415.08 and 248.86

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Solution

The fourth proportional to 278.02, 415.08 and 248.86 is: 371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 415.08 = 248.86 : x
  2. Step 2: Convert to fraction form
    278.02/415.08 = 248.86/x
  3. Step 3: Cross multiply
    278.02x = 415.08 × 248.86
  4. Step 4: Simplify right side
    278.02x = 103,296.81
  5. Step 5: Solve for x
    x = 103,296.81/278.02
  6. Step 6: Final answer
    x = 371.54

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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.