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Finding the Fourth Proportional to 537.08, 804.87 and 293.81

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Solution

The fourth proportional to 537.08, 804.87 and 293.81 is: 440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.08 : 804.87 = 293.81 : x
  2. Step 2: Convert to fraction form
    537.08/804.87 = 293.81/x
  3. Step 3: Cross multiply
    537.08x = 804.87 × 293.81
  4. Step 4: Simplify right side
    537.08x = 236,474.83
  5. Step 5: Solve for x
    x = 236,474.83/537.08
  6. Step 6: Final answer
    x = 440.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.