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Finding the Fourth Proportional to 353.73, 529.40 and 266.84

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Solution

The fourth proportional to 353.73, 529.40 and 266.84 is: 399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.73 : 529.40 = 266.84 : x
  2. Step 2: Convert to fraction form
    353.73/529.40 = 266.84/x
  3. Step 3: Cross multiply
    353.73x = 529.40 × 266.84
  4. Step 4: Simplify right side
    353.73x = 141,266.95
  5. Step 5: Solve for x
    x = 141,266.95/353.73
  6. Step 6: Final answer
    x = 399.36

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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.