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Finding the Fourth Proportional to 549.39, 758.13 and 316.50

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Solution

The fourth proportional to 549.39, 758.13 and 316.50 is: 436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.39 : 758.13 = 316.50 : x
  2. Step 2: Convert to fraction form
    549.39/758.13 = 316.50/x
  3. Step 3: Cross multiply
    549.39x = 758.13 × 316.50
  4. Step 4: Simplify right side
    549.39x = 239,948.15
  5. Step 5: Solve for x
    x = 239,948.15/549.39
  6. Step 6: Final answer
    x = 436.75

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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.