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Finding the Fourth Proportional to 278.60, 416.81 and 230.00

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Solution

The fourth proportional to 278.60, 416.81 and 230.00 is: 344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.60 : 416.81 = 230.00 : x
  2. Step 2: Convert to fraction form
    278.60/416.81 = 230.00/x
  3. Step 3: Cross multiply
    278.60x = 416.81 × 230.00
  4. Step 4: Simplify right side
    278.60x = 95,864.79
  5. Step 5: Solve for x
    x = 95,864.79/278.60
  6. Step 6: Final answer
    x = 344.10

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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.