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Finding the Fourth Proportional to 549.31, 758.12 and 310.08

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Solution

The fourth proportional to 549.31, 758.12 and 310.08 is: 427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.31 : 758.12 = 310.08 : x
  2. Step 2: Convert to fraction form
    549.31/758.12 = 310.08/x
  3. Step 3: Cross multiply
    549.31x = 758.12 × 310.08
  4. Step 4: Simplify right side
    549.31x = 235,080.89
  5. Step 5: Solve for x
    x = 235,080.89/549.31
  6. Step 6: Final answer
    x = 427.96

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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.