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Finding the Fourth Proportional to 538.40, 743.04 and 305.60

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Solution

The fourth proportional to 538.40, 743.04 and 305.60 is: 421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.40 : 743.04 = 305.60 : x
  2. Step 2: Convert to fraction form
    538.40/743.04 = 305.60/x
  3. Step 3: Cross multiply
    538.40x = 743.04 × 305.60
  4. Step 4: Simplify right side
    538.40x = 227,073.02
  5. Step 5: Solve for x
    x = 227,073.02/538.40
  6. Step 6: Final answer
    x = 421.76

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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.