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Finding the Fourth Proportional to 540.58, 810.11 and 309.12

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Solution

The fourth proportional to 540.58, 810.11 and 309.12 is: 463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.58 : 810.11 = 309.12 : x
  2. Step 2: Convert to fraction form
    540.58/810.11 = 309.12/x
  3. Step 3: Cross multiply
    540.58x = 810.11 × 309.12
  4. Step 4: Simplify right side
    540.58x = 250,419.66
  5. Step 5: Solve for x
    x = 250,419.66/540.58
  6. Step 6: Final answer
    x = 463.24

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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.