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Finding the Fourth Proportional to 355.71, 531.33 and 301.08

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Solution

The fourth proportional to 355.71, 531.33 and 301.08 is: 449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.71 : 531.33 = 301.08 : x
  2. Step 2: Convert to fraction form
    355.71/531.33 = 301.08/x
  3. Step 3: Cross multiply
    355.71x = 531.33 × 301.08
  4. Step 4: Simplify right side
    355.71x = 159,972.84
  5. Step 5: Solve for x
    x = 159,972.84/355.71
  6. Step 6: Final answer
    x = 449.73

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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.