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Finding the Fourth Proportional to 362.82, 540.45 and 358.05

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Solution

The fourth proportional to 362.82, 540.45 and 358.05 is: 533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.82 : 540.45 = 358.05 : x
  2. Step 2: Convert to fraction form
    362.82/540.45 = 358.05/x
  3. Step 3: Cross multiply
    362.82x = 540.45 × 358.05
  4. Step 4: Simplify right side
    362.82x = 193,508.12
  5. Step 5: Solve for x
    x = 193,508.12/362.82
  6. Step 6: Final answer
    x = 533.34

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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.