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Finding the Fourth Proportional to 541.29, 811.70 and 171.00

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Solution

The fourth proportional to 541.29, 811.70 and 171.00 is: 256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.29 : 811.70 = 171.00 : x
  2. Step 2: Convert to fraction form
    541.29/811.70 = 171.00/x
  3. Step 3: Cross multiply
    541.29x = 811.70 × 171.00
  4. Step 4: Simplify right side
    541.29x = 138,803.53
  5. Step 5: Solve for x
    x = 138,803.53/541.29
  6. Step 6: Final answer
    x = 256.43

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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.