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Finding the Fourth Proportional to 310.46, 467.50 and 272.36

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Solution

The fourth proportional to 310.46, 467.50 and 272.36 is: 410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.46 : 467.50 = 272.36 : x
  2. Step 2: Convert to fraction form
    310.46/467.50 = 272.36/x
  3. Step 3: Cross multiply
    310.46x = 467.50 × 272.36
  4. Step 4: Simplify right side
    310.46x = 127,326.94
  5. Step 5: Solve for x
    x = 127,326.94/310.46
  6. Step 6: Final answer
    x = 410.12

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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.