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Finding the Fourth Proportional to 385.06, 531.48 and 367.24

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Solution

The fourth proportional to 385.06, 531.48 and 367.24 is: 506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.06 : 531.48 = 367.24 : x
  2. Step 2: Convert to fraction form
    385.06/531.48 = 367.24/x
  3. Step 3: Cross multiply
    385.06x = 531.48 × 367.24
  4. Step 4: Simplify right side
    385.06x = 195,180.72
  5. Step 5: Solve for x
    x = 195,180.72/385.06
  6. Step 6: Final answer
    x = 506.88

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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.