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Finding the Fourth Proportional to 358.11, 538.25 and 262.53

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Solution

The fourth proportional to 358.11, 538.25 and 262.53 is: 394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.11 : 538.25 = 262.53 : x
  2. Step 2: Convert to fraction form
    358.11/538.25 = 262.53/x
  3. Step 3: Cross multiply
    358.11x = 538.25 × 262.53
  4. Step 4: Simplify right side
    358.11x = 141,305.46
  5. Step 5: Solve for x
    x = 141,305.46/358.11
  6. Step 6: Final answer
    x = 394.59

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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.