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Finding the Fourth Proportional to 541.47, 811.39 and 249.06

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Solution

The fourth proportional to 541.47, 811.39 and 249.06 is: 373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.47 : 811.39 = 249.06 : x
  2. Step 2: Convert to fraction form
    541.47/811.39 = 249.06/x
  3. Step 3: Cross multiply
    541.47x = 811.39 × 249.06
  4. Step 4: Simplify right side
    541.47x = 202,084.79
  5. Step 5: Solve for x
    x = 202,084.79/541.47
  6. Step 6: Final answer
    x = 373.22

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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.