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Finding the Fourth Proportional to 165.09, 247.64 and 78.45

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Solution

The fourth proportional to 165.09, 247.64 and 78.45 is: 117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.09 : 247.64 = 78.45 : x
  2. Step 2: Convert to fraction form
    165.09/247.64 = 78.45/x
  3. Step 3: Cross multiply
    165.09x = 247.64 × 78.45
  4. Step 4: Simplify right side
    165.09x = 19,426.97
  5. Step 5: Solve for x
    x = 19,426.97/165.09
  6. Step 6: Final answer
    x = 117.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.