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Finding the Fourth Proportional to 541.30, 810.68 and 324.40

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Solution

The fourth proportional to 541.30, 810.68 and 324.40 is: 485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.30 : 810.68 = 324.40 : x
  2. Step 2: Convert to fraction form
    541.30/810.68 = 324.40/x
  3. Step 3: Cross multiply
    541.30x = 810.68 × 324.40
  4. Step 4: Simplify right side
    541.30x = 262,984.59
  5. Step 5: Solve for x
    x = 262,984.59/541.30
  6. Step 6: Final answer
    x = 485.84

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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.