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Finding the Fourth Proportional to 367.76, 549.63 and 338.57

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Solution

The fourth proportional to 367.76, 549.63 and 338.57 is: 506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.76 : 549.63 = 338.57 : x
  2. Step 2: Convert to fraction form
    367.76/549.63 = 338.57/x
  3. Step 3: Cross multiply
    367.76x = 549.63 × 338.57
  4. Step 4: Simplify right side
    367.76x = 186,085.48
  5. Step 5: Solve for x
    x = 186,085.48/367.76
  6. Step 6: Final answer
    x = 506.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.