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Finding the Fourth Proportional to 165.48, 246.88 and 157.74

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Solution

The fourth proportional to 165.48, 246.88 and 157.74 is: 235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.48 : 246.88 = 157.74 : x
  2. Step 2: Convert to fraction form
    165.48/246.88 = 157.74/x
  3. Step 3: Cross multiply
    165.48x = 246.88 × 157.74
  4. Step 4: Simplify right side
    165.48x = 38,942.85
  5. Step 5: Solve for x
    x = 38,942.85/165.48
  6. Step 6: Final answer
    x = 235.33

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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.