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Finding the Fourth Proportional to 278.00, 416.72 and 140.84

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Solution

The fourth proportional to 278.00, 416.72 and 140.84 is: 211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.00 : 416.72 = 140.84 : x
  2. Step 2: Convert to fraction form
    278.00/416.72 = 140.84/x
  3. Step 3: Cross multiply
    278.00x = 416.72 × 140.84
  4. Step 4: Simplify right side
    278.00x = 58,688.06
  5. Step 5: Solve for x
    x = 58,688.06/278.00
  6. Step 6: Final answer
    x = 211.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.