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Finding the Fourth Proportional to 278.12, 415.71 and 197.02

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Solution

The fourth proportional to 278.12, 415.71 and 197.02 is: 294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.12 : 415.71 = 197.02 : x
  2. Step 2: Convert to fraction form
    278.12/415.71 = 197.02/x
  3. Step 3: Cross multiply
    278.12x = 415.71 × 197.02
  4. Step 4: Simplify right side
    278.12x = 81,903.18
  5. Step 5: Solve for x
    x = 81,903.18/278.12
  6. Step 6: Final answer
    x = 294.49

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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.