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Finding the Fourth Proportional to 133.74, 199.64 and 118.40

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Solution

The fourth proportional to 133.74, 199.64 and 118.40 is: 176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.74 : 199.64 = 118.40 : x
  2. Step 2: Convert to fraction form
    133.74/199.64 = 118.40/x
  3. Step 3: Cross multiply
    133.74x = 199.64 × 118.40
  4. Step 4: Simplify right side
    133.74x = 23,637.38
  5. Step 5: Solve for x
    x = 23,637.38/133.74
  6. Step 6: Final answer
    x = 176.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.