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Finding the Fourth Proportional to 278.79, 382.67 and 247.01

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Solution

The fourth proportional to 278.79, 382.67 and 247.01 is: 339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.79 : 382.67 = 247.01 : x
  2. Step 2: Convert to fraction form
    278.79/382.67 = 247.01/x
  3. Step 3: Cross multiply
    278.79x = 382.67 × 247.01
  4. Step 4: Simplify right side
    278.79x = 94,523.32
  5. Step 5: Solve for x
    x = 94,523.32/278.79
  6. Step 6: Final answer
    x = 339.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.