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Finding the Fourth Proportional to 540.72, 811.05 and 194.04

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Solution

The fourth proportional to 540.72, 811.05 and 194.04 is: 291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.72 : 811.05 = 194.04 : x
  2. Step 2: Convert to fraction form
    540.72/811.05 = 194.04/x
  3. Step 3: Cross multiply
    540.72x = 811.05 × 194.04
  4. Step 4: Simplify right side
    540.72x = 157,376.14
  5. Step 5: Solve for x
    x = 157,376.14/540.72
  6. Step 6: Final answer
    x = 291.05

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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.