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Finding the Fourth Proportional to 334.28, 460.95 and 287.81

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Solution

The fourth proportional to 334.28, 460.95 and 287.81 is: 396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.28 : 460.95 = 287.81 : x
  2. Step 2: Convert to fraction form
    334.28/460.95 = 287.81/x
  3. Step 3: Cross multiply
    334.28x = 460.95 × 287.81
  4. Step 4: Simplify right side
    334.28x = 132,666.02
  5. Step 5: Solve for x
    x = 132,666.02/334.28
  6. Step 6: Final answer
    x = 396.87

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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.