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Finding the Fourth Proportional to 362.58, 540.93 and 310.62

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Solution

The fourth proportional to 362.58, 540.93 and 310.62 is: 463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.58 : 540.93 = 310.62 : x
  2. Step 2: Convert to fraction form
    362.58/540.93 = 310.62/x
  3. Step 3: Cross multiply
    362.58x = 540.93 × 310.62
  4. Step 4: Simplify right side
    362.58x = 168,023.68
  5. Step 5: Solve for x
    x = 168,023.68/362.58
  6. Step 6: Final answer
    x = 463.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.