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Finding the Fourth Proportional to 355.07, 531.28 and 213.85

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Solution

The fourth proportional to 355.07, 531.28 and 213.85 is: 319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.07 : 531.28 = 213.85 : x
  2. Step 2: Convert to fraction form
    355.07/531.28 = 213.85/x
  3. Step 3: Cross multiply
    355.07x = 531.28 × 213.85
  4. Step 4: Simplify right side
    355.07x = 113,612.37
  5. Step 5: Solve for x
    x = 113,612.37/355.07
  6. Step 6: Final answer
    x = 319.98

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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.