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Finding the Fourth Proportional to 334.04, 502.88 and 287.06

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Solution

The fourth proportional to 334.04, 502.88 and 287.06 is: 432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.04 : 502.88 = 287.06 : x
  2. Step 2: Convert to fraction form
    334.04/502.88 = 287.06/x
  3. Step 3: Cross multiply
    334.04x = 502.88 × 287.06
  4. Step 4: Simplify right side
    334.04x = 144,356.73
  5. Step 5: Solve for x
    x = 144,356.73/334.04
  6. Step 6: Final answer
    x = 432.15

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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.