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Finding the Fourth Proportional to 133.13, 200.95 and 133.13

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Solution

The fourth proportional to 133.13, 200.95 and 133.13 is: 200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.13 : 200.95 = 133.13 : x
  2. Step 2: Convert to fraction form
    133.13/200.95 = 133.13/x
  3. Step 3: Cross multiply
    133.13x = 200.95 × 133.13
  4. Step 4: Simplify right side
    133.13x = 26,752.47
  5. Step 5: Solve for x
    x = 26,752.47/133.13
  6. Step 6: Final answer
    x = 200.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.