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Finding the Fourth Proportional to 541.34, 811.89 and 171.08

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Solution

The fourth proportional to 541.34, 811.89 and 171.08 is: 256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.34 : 811.89 = 171.08 : x
  2. Step 2: Convert to fraction form
    541.34/811.89 = 171.08/x
  3. Step 3: Cross multiply
    541.34x = 811.89 × 171.08
  4. Step 4: Simplify right side
    541.34x = 138,898.14
  5. Step 5: Solve for x
    x = 138,898.14/541.34
  6. Step 6: Final answer
    x = 256.58

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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.