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Finding the Fourth Proportional to 541.03, 746.64 and 319.90

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Solution

The fourth proportional to 541.03, 746.64 and 319.90 is: 441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.03 : 746.64 = 319.90 : x
  2. Step 2: Convert to fraction form
    541.03/746.64 = 319.90/x
  3. Step 3: Cross multiply
    541.03x = 746.64 × 319.90
  4. Step 4: Simplify right side
    541.03x = 238,847.07
  5. Step 5: Solve for x
    x = 238,847.07/541.03
  6. Step 6: Final answer
    x = 441.47

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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.