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Finding the Fourth Proportional to 153.09, 228.71 and 109.41

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Solution

The fourth proportional to 153.09, 228.71 and 109.41 is: 163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.09 : 228.71 = 109.41 : x
  2. Step 2: Convert to fraction form
    153.09/228.71 = 109.41/x
  3. Step 3: Cross multiply
    153.09x = 228.71 × 109.41
  4. Step 4: Simplify right side
    153.09x = 25,022.61
  5. Step 5: Solve for x
    x = 25,022.61/153.09
  6. Step 6: Final answer
    x = 163.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.