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Finding the Fourth Proportional to 201.77, 302.70 and 86.22

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Solution

The fourth proportional to 201.77, 302.70 and 86.22 is: 129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.77 : 302.70 = 86.22 : x
  2. Step 2: Convert to fraction form
    201.77/302.70 = 86.22/x
  3. Step 3: Cross multiply
    201.77x = 302.70 × 86.22
  4. Step 4: Simplify right side
    201.77x = 26,098.79
  5. Step 5: Solve for x
    x = 26,098.79/201.77
  6. Step 6: Final answer
    x = 129.35

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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.