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Finding the Fourth Proportional to 538.30, 742.92 and 305.50

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Solution

The fourth proportional to 538.30, 742.92 and 305.50 is: 421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.30 : 742.92 = 305.50 : x
  2. Step 2: Convert to fraction form
    538.30/742.92 = 305.50/x
  3. Step 3: Cross multiply
    538.30x = 742.92 × 305.50
  4. Step 4: Simplify right side
    538.30x = 226,962.06
  5. Step 5: Solve for x
    x = 226,962.06/538.30
  6. Step 6: Final answer
    x = 421.63

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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.