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Finding the Fourth Proportional to 540.69, 810.49 and 175.21

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Solution

The fourth proportional to 540.69, 810.49 and 175.21 is: 262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.69 : 810.49 = 175.21 : x
  2. Step 2: Convert to fraction form
    540.69/810.49 = 175.21/x
  3. Step 3: Cross multiply
    540.69x = 810.49 × 175.21
  4. Step 4: Simplify right side
    540.69x = 142,005.95
  5. Step 5: Solve for x
    x = 142,005.95/540.69
  6. Step 6: Final answer
    x = 262.64

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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.