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Finding the Fourth Proportional to 291.75, 440.93 and 286.71

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Solution

The fourth proportional to 291.75, 440.93 and 286.71 is: 433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.75 : 440.93 = 286.71 : x
  2. Step 2: Convert to fraction form
    291.75/440.93 = 286.71/x
  3. Step 3: Cross multiply
    291.75x = 440.93 × 286.71
  4. Step 4: Simplify right side
    291.75x = 126,419.04
  5. Step 5: Solve for x
    x = 126,419.04/291.75
  6. Step 6: Final answer
    x = 433.31

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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.