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Finding the Fourth Proportional to 291.50, 440.55 and 286.46

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Solution

The fourth proportional to 291.50, 440.55 and 286.46 is: 432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.50 : 440.55 = 286.46 : x
  2. Step 2: Convert to fraction form
    291.50/440.55 = 286.46/x
  3. Step 3: Cross multiply
    291.50x = 440.55 × 286.46
  4. Step 4: Simplify right side
    291.50x = 126,197.75
  5. Step 5: Solve for x
    x = 126,197.75/291.50
  6. Step 6: Final answer
    x = 432.93

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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.