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Finding the Fourth Proportional to 153.09, 228.97 and 95.17

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Solution

The fourth proportional to 153.09, 228.97 and 95.17 is: 142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.09 : 228.97 = 95.17 : x
  2. Step 2: Convert to fraction form
    153.09/228.97 = 95.17/x
  3. Step 3: Cross multiply
    153.09x = 228.97 × 95.17
  4. Step 4: Simplify right side
    153.09x = 21,791.07
  5. Step 5: Solve for x
    x = 21,791.07/153.09
  6. Step 6: Final answer
    x = 142.34

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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.