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Finding the Fourth Proportional to 326.31, 486.16 and 310.83

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Solution

The fourth proportional to 326.31, 486.16 and 310.83 is: 463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.31 : 486.16 = 310.83 : x
  2. Step 2: Convert to fraction form
    326.31/486.16 = 310.83/x
  3. Step 3: Cross multiply
    326.31x = 486.16 × 310.83
  4. Step 4: Simplify right side
    326.31x = 151,113.11
  5. Step 5: Solve for x
    x = 151,113.11/326.31
  6. Step 6: Final answer
    x = 463.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.