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Finding the Fourth Proportional to 367.40, 549.84 and 258.68

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Solution

The fourth proportional to 367.40, 549.84 and 258.68 is: 387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.40 : 549.84 = 258.68 : x
  2. Step 2: Convert to fraction form
    367.40/549.84 = 258.68/x
  3. Step 3: Cross multiply
    367.40x = 549.84 × 258.68
  4. Step 4: Simplify right side
    367.40x = 142,232.61
  5. Step 5: Solve for x
    x = 142,232.61/367.40
  6. Step 6: Final answer
    x = 387.13

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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.