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Finding the Fourth Proportional to 540.09, 810.21 and 174.84

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Solution

The fourth proportional to 540.09, 810.21 and 174.84 is: 262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.09 : 810.21 = 174.84 : x
  2. Step 2: Convert to fraction form
    540.09/810.21 = 174.84/x
  3. Step 3: Cross multiply
    540.09x = 810.21 × 174.84
  4. Step 4: Simplify right side
    540.09x = 141,657.12
  5. Step 5: Solve for x
    x = 141,657.12/540.09
  6. Step 6: Final answer
    x = 262.28

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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.