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Finding the Fourth Proportional to 295.60, 440.90 and 275.44

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Solution

The fourth proportional to 295.60, 440.90 and 275.44 is: 410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.60 : 440.90 = 275.44 : x
  2. Step 2: Convert to fraction form
    295.60/440.90 = 275.44/x
  3. Step 3: Cross multiply
    295.60x = 440.90 × 275.44
  4. Step 4: Simplify right side
    295.60x = 121,441.50
  5. Step 5: Solve for x
    x = 121,441.50/295.60
  6. Step 6: Final answer
    x = 410.83

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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.