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Finding the Fourth Proportional to 165.60, 248.55 and 111.53

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Solution

The fourth proportional to 165.60, 248.55 and 111.53 is: 167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.60 : 248.55 = 111.53 : x
  2. Step 2: Convert to fraction form
    165.60/248.55 = 111.53/x
  3. Step 3: Cross multiply
    165.60x = 248.55 × 111.53
  4. Step 4: Simplify right side
    165.60x = 27,720.78
  5. Step 5: Solve for x
    x = 27,720.78/165.60
  6. Step 6: Final answer
    x = 167.40

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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.