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Finding the Fourth Proportional to 540.52, 810.26 and 293.80

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Solution

The fourth proportional to 540.52, 810.26 and 293.80 is: 440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.52 : 810.26 = 293.80 : x
  2. Step 2: Convert to fraction form
    540.52/810.26 = 293.80/x
  3. Step 3: Cross multiply
    540.52x = 810.26 × 293.80
  4. Step 4: Simplify right side
    540.52x = 238,054.39
  5. Step 5: Solve for x
    x = 238,054.39/540.52
  6. Step 6: Final answer
    x = 440.42

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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.