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Finding the Fourth Proportional to 213.82, 320.77 and 90.35

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Solution

The fourth proportional to 213.82, 320.77 and 90.35 is: 135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.82 : 320.77 = 90.35 : x
  2. Step 2: Convert to fraction form
    213.82/320.77 = 90.35/x
  3. Step 3: Cross multiply
    213.82x = 320.77 × 90.35
  4. Step 4: Simplify right side
    213.82x = 28,981.28
  5. Step 5: Solve for x
    x = 28,981.28/213.82
  6. Step 6: Final answer
    x = 135.54

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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.