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Finding the Fourth Proportional to 209.51, 288.59 and 165.08

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Solution

The fourth proportional to 209.51, 288.59 and 165.08 is: 227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.51 : 288.59 = 165.08 : x
  2. Step 2: Convert to fraction form
    209.51/288.59 = 165.08/x
  3. Step 3: Cross multiply
    209.51x = 288.59 × 165.08
  4. Step 4: Simplify right side
    209.51x = 47,638.17
  5. Step 5: Solve for x
    x = 47,638.17/209.51
  6. Step 6: Final answer
    x = 227.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.