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Finding the Fourth Proportional to 538.81, 743.28 and 342.11

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Solution

The fourth proportional to 538.81, 743.28 and 342.11 is: 471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.81 : 743.28 = 342.11 : x
  2. Step 2: Convert to fraction form
    538.81/743.28 = 342.11/x
  3. Step 3: Cross multiply
    538.81x = 743.28 × 342.11
  4. Step 4: Simplify right side
    538.81x = 254,284.10
  5. Step 5: Solve for x
    x = 254,284.10/538.81
  6. Step 6: Final answer
    x = 471.94

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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.