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Finding the Fourth Proportional to 135.84, 204.18 and 118.02

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Solution

The fourth proportional to 135.84, 204.18 and 118.02 is: 177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.84 : 204.18 = 118.02 : x
  2. Step 2: Convert to fraction form
    135.84/204.18 = 118.02/x
  3. Step 3: Cross multiply
    135.84x = 204.18 × 118.02
  4. Step 4: Simplify right side
    135.84x = 24,097.32
  5. Step 5: Solve for x
    x = 24,097.32/135.84
  6. Step 6: Final answer
    x = 177.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.