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Finding the Fourth Proportional to 295.64, 441.48 and 278.55

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Solution

The fourth proportional to 295.64, 441.48 and 278.55 is: 415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.64 : 441.48 = 278.55 : x
  2. Step 2: Convert to fraction form
    295.64/441.48 = 278.55/x
  3. Step 3: Cross multiply
    295.64x = 441.48 × 278.55
  4. Step 4: Simplify right side
    295.64x = 122,974.25
  5. Step 5: Solve for x
    x = 122,974.25/295.64
  6. Step 6: Final answer
    x = 415.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.