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Finding the Fourth Proportional to 549.24, 757.98 and 313.15

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Solution

The fourth proportional to 549.24, 757.98 and 313.15 is: 432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.24 : 757.98 = 313.15 : x
  2. Step 2: Convert to fraction form
    549.24/757.98 = 313.15/x
  3. Step 3: Cross multiply
    549.24x = 757.98 × 313.15
  4. Step 4: Simplify right side
    549.24x = 237,362.48
  5. Step 5: Solve for x
    x = 237,362.48/549.24
  6. Step 6: Final answer
    x = 432.16

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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.