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Finding the Fourth Proportional to 549.40, 758.15 and 313.36

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Solution

The fourth proportional to 549.40, 758.15 and 313.36 is: 432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.40 : 758.15 = 313.36 : x
  2. Step 2: Convert to fraction form
    549.40/758.15 = 313.36/x
  3. Step 3: Cross multiply
    549.40x = 758.15 × 313.36
  4. Step 4: Simplify right side
    549.40x = 237,573.88
  5. Step 5: Solve for x
    x = 237,573.88/549.40
  6. Step 6: Final answer
    x = 432.42

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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.