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Finding the Fourth Proportional to 358.03, 535.78 and 266.50

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Solution

The fourth proportional to 358.03, 535.78 and 266.50 is: 398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.03 : 535.78 = 266.50 : x
  2. Step 2: Convert to fraction form
    358.03/535.78 = 266.50/x
  3. Step 3: Cross multiply
    358.03x = 535.78 × 266.50
  4. Step 4: Simplify right side
    358.03x = 142,785.37
  5. Step 5: Solve for x
    x = 142,785.37/358.03
  6. Step 6: Final answer
    x = 398.81

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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.