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Finding the Fourth Proportional to 538.24, 742.26 and 328.45

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Solution

The fourth proportional to 538.24, 742.26 and 328.45 is: 452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.24 : 742.26 = 328.45 : x
  2. Step 2: Convert to fraction form
    538.24/742.26 = 328.45/x
  3. Step 3: Cross multiply
    538.24x = 742.26 × 328.45
  4. Step 4: Simplify right side
    538.24x = 243,795.30
  5. Step 5: Solve for x
    x = 243,795.30/538.24
  6. Step 6: Final answer
    x = 452.95

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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.