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Finding the Fourth Proportional to 540.45, 811.07 and 215.91

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Solution

The fourth proportional to 540.45, 811.07 and 215.91 is: 324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.45 : 811.07 = 215.91 : x
  2. Step 2: Convert to fraction form
    540.45/811.07 = 215.91/x
  3. Step 3: Cross multiply
    540.45x = 811.07 × 215.91
  4. Step 4: Simplify right side
    540.45x = 175,115.02
  5. Step 5: Solve for x
    x = 175,115.02/540.45
  6. Step 6: Final answer
    x = 324.02

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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.