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Finding the Fourth Proportional to 358.39, 537.62 and 98.41

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Solution

The fourth proportional to 358.39, 537.62 and 98.41 is: 147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.39 : 537.62 = 98.41 : x
  2. Step 2: Convert to fraction form
    358.39/537.62 = 98.41/x
  3. Step 3: Cross multiply
    358.39x = 537.62 × 98.41
  4. Step 4: Simplify right side
    358.39x = 52,905.40
  5. Step 5: Solve for x
    x = 52,905.40/358.39
  6. Step 6: Final answer
    x = 147.62

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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.