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Finding the Fourth Proportional to 165.78, 248.76 and 159.72

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Solution

The fourth proportional to 165.78, 248.76 and 159.72 is: 239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 248.76 = 159.72 : x
  2. Step 2: Convert to fraction form
    165.78/248.76 = 159.72/x
  3. Step 3: Cross multiply
    165.78x = 248.76 × 159.72
  4. Step 4: Simplify right side
    165.78x = 39,731.95
  5. Step 5: Solve for x
    x = 39,731.95/165.78
  6. Step 6: Final answer
    x = 239.67

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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.