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Finding the Fourth Proportional to 541.37, 810.89 and 310.15

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Solution

The fourth proportional to 541.37, 810.89 and 310.15 is: 464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.37 : 810.89 = 310.15 : x
  2. Step 2: Convert to fraction form
    541.37/810.89 = 310.15/x
  3. Step 3: Cross multiply
    541.37x = 810.89 × 310.15
  4. Step 4: Simplify right side
    541.37x = 251,491.93
  5. Step 5: Solve for x
    x = 251,491.93/541.37
  6. Step 6: Final answer
    x = 464.55

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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.