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Finding the Fourth Proportional to 334.89, 502.80 and 286.47

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Solution

The fourth proportional to 334.89, 502.80 and 286.47 is: 430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.89 : 502.80 = 286.47 : x
  2. Step 2: Convert to fraction form
    334.89/502.80 = 286.47/x
  3. Step 3: Cross multiply
    334.89x = 502.80 × 286.47
  4. Step 4: Simplify right side
    334.89x = 144,037.12
  5. Step 5: Solve for x
    x = 144,037.12/334.89
  6. Step 6: Final answer
    x = 430.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.