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Finding the Fourth Proportional to 213.07, 319.35 and 91.07

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Solution

The fourth proportional to 213.07, 319.35 and 91.07 is: 136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.07 : 319.35 = 91.07 : x
  2. Step 2: Convert to fraction form
    213.07/319.35 = 91.07/x
  3. Step 3: Cross multiply
    213.07x = 319.35 × 91.07
  4. Step 4: Simplify right side
    213.07x = 29,083.55
  5. Step 5: Solve for x
    x = 29,083.55/213.07
  6. Step 6: Final answer
    x = 136.50

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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.