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Finding the Fourth Proportional to 541.54, 811.89 and 249.23

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Solution

The fourth proportional to 541.54, 811.89 and 249.23 is: 373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.54 : 811.89 = 249.23 : x
  2. Step 2: Convert to fraction form
    541.54/811.89 = 249.23/x
  3. Step 3: Cross multiply
    541.54x = 811.89 × 249.23
  4. Step 4: Simplify right side
    541.54x = 202,349.37
  5. Step 5: Solve for x
    x = 202,349.37/541.54
  6. Step 6: Final answer
    x = 373.65

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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.