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Finding the Fourth Proportional to 117.07, 174.77 and 100.82

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Solution

The fourth proportional to 117.07, 174.77 and 100.82 is: 150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.07 : 174.77 = 100.82 : x
  2. Step 2: Convert to fraction form
    117.07/174.77 = 100.82/x
  3. Step 3: Cross multiply
    117.07x = 174.77 × 100.82
  4. Step 4: Simplify right side
    117.07x = 17,620.31
  5. Step 5: Solve for x
    x = 17,620.31/117.07
  6. Step 6: Final answer
    x = 150.51

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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.