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Finding the Fourth Proportional to 358.37, 537.53 and 138.95

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Solution

The fourth proportional to 358.37, 537.53 and 138.95 is: 208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.37 : 537.53 = 138.95 : x
  2. Step 2: Convert to fraction form
    358.37/537.53 = 138.95/x
  3. Step 3: Cross multiply
    358.37x = 537.53 × 138.95
  4. Step 4: Simplify right side
    358.37x = 74,689.79
  5. Step 5: Solve for x
    x = 74,689.79/358.37
  6. Step 6: Final answer
    x = 208.42

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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.