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Finding the Fourth Proportional to 153.69, 230.09 and 102.20

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Solution

The fourth proportional to 153.69, 230.09 and 102.20 is: 152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.69 : 230.09 = 102.20 : x
  2. Step 2: Convert to fraction form
    153.69/230.09 = 102.20/x
  3. Step 3: Cross multiply
    153.69x = 230.09 × 102.20
  4. Step 4: Simplify right side
    153.69x = 23,513.54
  5. Step 5: Solve for x
    x = 23,513.54/153.69
  6. Step 6: Final answer
    x = 152.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.