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Finding the Fourth Proportional to 367.12, 549.82 and 312.13

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Solution

The fourth proportional to 367.12, 549.82 and 312.13 is: 467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.12 : 549.82 = 312.13 : x
  2. Step 2: Convert to fraction form
    367.12/549.82 = 312.13/x
  3. Step 3: Cross multiply
    367.12x = 549.82 × 312.13
  4. Step 4: Simplify right side
    367.12x = 171,615.32
  5. Step 5: Solve for x
    x = 171,615.32/367.12
  6. Step 6: Final answer
    x = 467.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.