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Finding the Fourth Proportional to 549.27, 758.06 and 313.17

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Solution

The fourth proportional to 549.27, 758.06 and 313.17 is: 432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.27 : 758.06 = 313.17 : x
  2. Step 2: Convert to fraction form
    549.27/758.06 = 313.17/x
  3. Step 3: Cross multiply
    549.27x = 758.06 × 313.17
  4. Step 4: Simplify right side
    549.27x = 237,404.44
  5. Step 5: Solve for x
    x = 237,404.44/549.27
  6. Step 6: Final answer
    x = 432.22

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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.