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Finding the Fourth Proportional to 541.15, 811.73 and 294.31

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Solution

The fourth proportional to 541.15, 811.73 and 294.31 is: 441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.15 : 811.73 = 294.31 : x
  2. Step 2: Convert to fraction form
    541.15/811.73 = 294.31/x
  3. Step 3: Cross multiply
    541.15x = 811.73 × 294.31
  4. Step 4: Simplify right side
    541.15x = 238,900.26
  5. Step 5: Solve for x
    x = 238,900.26/541.15
  6. Step 6: Final answer
    x = 441.47

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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.