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Finding the Fourth Proportional to 540.49, 810.77 and 175.31

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Solution

The fourth proportional to 540.49, 810.77 and 175.31 is: 262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.49 : 810.77 = 175.31 : x
  2. Step 2: Convert to fraction form
    540.49/810.77 = 175.31/x
  3. Step 3: Cross multiply
    540.49x = 810.77 × 175.31
  4. Step 4: Simplify right side
    540.49x = 142,139.25
  5. Step 5: Solve for x
    x = 142,139.25/540.49
  6. Step 6: Final answer
    x = 262.98

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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.