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Finding the Fourth Proportional to 117.09, 176.36 and 90.22

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Solution

The fourth proportional to 117.09, 176.36 and 90.22 is: 135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.09 : 176.36 = 90.22 : x
  2. Step 2: Convert to fraction form
    117.09/176.36 = 90.22/x
  3. Step 3: Cross multiply
    117.09x = 176.36 × 90.22
  4. Step 4: Simplify right side
    117.09x = 15,911.20
  5. Step 5: Solve for x
    x = 15,911.20/117.09
  6. Step 6: Final answer
    x = 135.89

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Why These Related Problems?

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