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Finding the Fourth Proportional to 133.48, 183.78 and 117.70

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Solution

The fourth proportional to 133.48, 183.78 and 117.70 is: 162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.48 : 183.78 = 117.70 : x
  2. Step 2: Convert to fraction form
    133.48/183.78 = 117.70/x
  3. Step 3: Cross multiply
    133.48x = 183.78 × 117.70
  4. Step 4: Simplify right side
    133.48x = 21,630.91
  5. Step 5: Solve for x
    x = 21,630.91/133.48
  6. Step 6: Final answer
    x = 162.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.