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Finding the Fourth Proportional to 358.39, 535.50 and 274.54

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Solution

The fourth proportional to 358.39, 535.50 and 274.54 is: 410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.39 : 535.50 = 274.54 : x
  2. Step 2: Convert to fraction form
    358.39/535.50 = 274.54/x
  3. Step 3: Cross multiply
    358.39x = 535.50 × 274.54
  4. Step 4: Simplify right side
    358.39x = 147,013.49
  5. Step 5: Solve for x
    x = 147,013.49/358.39
  6. Step 6: Final answer
    x = 410.21

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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.