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Finding the Fourth Proportional to 537.10, 741.18 and 301.07

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Solution

The fourth proportional to 537.10, 741.18 and 301.07 is: 415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.10 : 741.18 = 301.07 : x
  2. Step 2: Convert to fraction form
    537.10/741.18 = 301.07/x
  3. Step 3: Cross multiply
    537.10x = 741.18 × 301.07
  4. Step 4: Simplify right side
    537.10x = 223,145.56
  5. Step 5: Solve for x
    x = 223,145.56/537.10
  6. Step 6: Final answer
    x = 415.46

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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.