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Finding the Fourth Proportional to 541.15, 746.39 and 354.34

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Solution

The fourth proportional to 541.15, 746.39 and 354.34 is: 488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.15 : 746.39 = 354.34 : x
  2. Step 2: Convert to fraction form
    541.15/746.39 = 354.34/x
  3. Step 3: Cross multiply
    541.15x = 746.39 × 354.34
  4. Step 4: Simplify right side
    541.15x = 264,475.83
  5. Step 5: Solve for x
    x = 264,475.83/541.15
  6. Step 6: Final answer
    x = 488.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.