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Finding the Fourth Proportional to 119.23, 165.23 and 117.07

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Solution

The fourth proportional to 119.23, 165.23 and 117.07 is: 162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.23 : 165.23 = 117.07 : x
  2. Step 2: Convert to fraction form
    119.23/165.23 = 117.07/x
  3. Step 3: Cross multiply
    119.23x = 165.23 × 117.07
  4. Step 4: Simplify right side
    119.23x = 19,343.77
  5. Step 5: Solve for x
    x = 19,343.77/119.23
  6. Step 6: Final answer
    x = 162.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.