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Finding the Fourth Proportional to 291.14, 402.56 and 286.52

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Solution

The fourth proportional to 291.14, 402.56 and 286.52 is: 396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.14 : 402.56 = 286.52 : x
  2. Step 2: Convert to fraction form
    291.14/402.56 = 286.52/x
  3. Step 3: Cross multiply
    291.14x = 402.56 × 286.52
  4. Step 4: Simplify right side
    291.14x = 115,341.49
  5. Step 5: Solve for x
    x = 115,341.49/291.14
  6. Step 6: Final answer
    x = 396.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.