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Finding the Fourth Proportional to 278.02, 384.11 and 191.15

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Solution

The fourth proportional to 278.02, 384.11 and 191.15 is: 264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 384.11 = 191.15 : x
  2. Step 2: Convert to fraction form
    278.02/384.11 = 191.15/x
  3. Step 3: Cross multiply
    278.02x = 384.11 × 191.15
  4. Step 4: Simplify right side
    278.02x = 73,422.63
  5. Step 5: Solve for x
    x = 73,422.63/278.02
  6. Step 6: Final answer
    x = 264.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.