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Finding the Fourth Proportional to 133.08, 199.06 and 86.00

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Solution

The fourth proportional to 133.08, 199.06 and 86.00 is: 128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.08 : 199.06 = 86.00 : x
  2. Step 2: Convert to fraction form
    133.08/199.06 = 86.00/x
  3. Step 3: Cross multiply
    133.08x = 199.06 × 86.00
  4. Step 4: Simplify right side
    133.08x = 17,117.95
  5. Step 5: Solve for x
    x = 17,117.95/133.08
  6. Step 6: Final answer
    x = 128.63

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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.