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Finding the Fourth Proportional to 358.80, 540.93 and 323.57

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Solution

The fourth proportional to 358.80, 540.93 and 323.57 is: 487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 540.93 = 323.57 : x
  2. Step 2: Convert to fraction form
    358.80/540.93 = 323.57/x
  3. Step 3: Cross multiply
    358.80x = 540.93 × 323.57
  4. Step 4: Simplify right side
    358.80x = 175,026.02
  5. Step 5: Solve for x
    x = 175,026.02/358.80
  6. Step 6: Final answer
    x = 487.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.