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Finding the Fourth Proportional to 165.16, 248.99 and 156.34

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Solution

The fourth proportional to 165.16, 248.99 and 156.34 is: 235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 248.99 = 156.34 : x
  2. Step 2: Convert to fraction form
    165.16/248.99 = 156.34/x
  3. Step 3: Cross multiply
    165.16x = 248.99 × 156.34
  4. Step 4: Simplify right side
    165.16x = 38,927.10
  5. Step 5: Solve for x
    x = 38,927.10/165.16
  6. Step 6: Final answer
    x = 235.69

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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.