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Finding the Fourth Proportional to 117.65, 177.35 and 111.02

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Solution

The fourth proportional to 117.65, 177.35 and 111.02 is: 167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.65 : 177.35 = 111.02 : x
  2. Step 2: Convert to fraction form
    117.65/177.35 = 111.02/x
  3. Step 3: Cross multiply
    117.65x = 177.35 × 111.02
  4. Step 4: Simplify right side
    117.65x = 19,687.96
  5. Step 5: Solve for x
    x = 19,687.96/117.65
  6. Step 6: Final answer
    x = 167.34

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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.