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Finding the Fourth Proportional to 117.45, 177.06 and 100.47

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Solution

The fourth proportional to 117.45, 177.06 and 100.47 is: 151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.45 : 177.06 = 100.47 : x
  2. Step 2: Convert to fraction form
    117.45/177.06 = 100.47/x
  3. Step 3: Cross multiply
    117.45x = 177.06 × 100.47
  4. Step 4: Simplify right side
    117.45x = 17,789.22
  5. Step 5: Solve for x
    x = 17,789.22/117.45
  6. Step 6: Final answer
    x = 151.46

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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.