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Finding the Fourth Proportional to 291.60, 439.22 and 264.87

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Solution

The fourth proportional to 291.60, 439.22 and 264.87 is: 398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.60 : 439.22 = 264.87 : x
  2. Step 2: Convert to fraction form
    291.60/439.22 = 264.87/x
  3. Step 3: Cross multiply
    291.60x = 439.22 × 264.87
  4. Step 4: Simplify right side
    291.60x = 116,336.86
  5. Step 5: Solve for x
    x = 116,336.86/291.60
  6. Step 6: Final answer
    x = 398.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.