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Finding the Fourth Proportional to 537.19, 741.30 and 301.14

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Solution

The fourth proportional to 537.19, 741.30 and 301.14 is: 415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.19 : 741.30 = 301.14 : x
  2. Step 2: Convert to fraction form
    537.19/741.30 = 301.14/x
  3. Step 3: Cross multiply
    537.19x = 741.30 × 301.14
  4. Step 4: Simplify right side
    537.19x = 223,237.73
  5. Step 5: Solve for x
    x = 223,237.73/537.19
  6. Step 6: Final answer
    x = 415.56

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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.