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Finding the Fourth Proportional to 353, 527.02 and 301.66

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Solution

The fourth proportional to 353, 527.02 and 301.66 is: 450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    353 : 527.02 = 301.66 : x
  2. Step 2: Convert to fraction form
    353/527.02 = 301.66/x
  3. Step 3: Cross multiply
    353x = 527.02 × 301.66
  4. Step 4: Simplify right side
    353x = 158,980.85
  5. Step 5: Solve for x
    x = 158,980.85/353
  6. Step 6: Final answer
    x = 450.37

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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.