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Finding the Fourth Proportional to 408.60, 612.23 and 278.10

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Solution

The fourth proportional to 408.60, 612.23 and 278.10 is: 416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.60 : 612.23 = 278.10 : x
  2. Step 2: Convert to fraction form
    408.60/612.23 = 278.10/x
  3. Step 3: Cross multiply
    408.60x = 612.23 × 278.10
  4. Step 4: Simplify right side
    408.60x = 170,259.77
  5. Step 5: Solve for x
    x = 170,259.77/408.60
  6. Step 6: Final answer
    x = 416.69

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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.