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Finding the Fourth Proportional to 117.12, 176.57 and 108.24

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Solution

The fourth proportional to 117.12, 176.57 and 108.24 is: 163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.12 : 176.57 = 108.24 : x
  2. Step 2: Convert to fraction form
    117.12/176.57 = 108.24/x
  3. Step 3: Cross multiply
    117.12x = 176.57 × 108.24
  4. Step 4: Simplify right side
    117.12x = 19,111.40
  5. Step 5: Solve for x
    x = 19,111.40/117.12
  6. Step 6: Final answer
    x = 163.18

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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.