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Finding the Fourth Proportional to 165.10, 248.97 and 145.90

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Solution

The fourth proportional to 165.10, 248.97 and 145.90 is: 220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.10 : 248.97 = 145.90 : x
  2. Step 2: Convert to fraction form
    165.10/248.97 = 145.90/x
  3. Step 3: Cross multiply
    165.10x = 248.97 × 145.90
  4. Step 4: Simplify right side
    165.10x = 36,323.99
  5. Step 5: Solve for x
    x = 36,323.99/165.10
  6. Step 6: Final answer
    x = 220.01

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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.