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Finding the Fourth Proportional to 541.17, 811.71 and 156.42

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Solution

The fourth proportional to 541.17, 811.71 and 156.42 is: 234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.17 : 811.71 = 156.42 : x
  2. Step 2: Convert to fraction form
    541.17/811.71 = 156.42/x
  3. Step 3: Cross multiply
    541.17x = 811.71 × 156.42
  4. Step 4: Simplify right side
    541.17x = 126,967.68
  5. Step 5: Solve for x
    x = 126,967.68/541.17
  6. Step 6: Final answer
    x = 234.62

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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.