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Finding the Fourth Proportional to 165.55, 249.32 and 149.51

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Solution

The fourth proportional to 165.55, 249.32 and 149.51 is: 225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.55 : 249.32 = 149.51 : x
  2. Step 2: Convert to fraction form
    165.55/249.32 = 149.51/x
  3. Step 3: Cross multiply
    165.55x = 249.32 × 149.51
  4. Step 4: Simplify right side
    165.55x = 37,275.83
  5. Step 5: Solve for x
    x = 37,275.83/165.55
  6. Step 6: Final answer
    x = 225.16

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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.