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Finding the Fourth Proportional to 153.15, 228.63 and 109.47

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Solution

The fourth proportional to 153.15, 228.63 and 109.47 is: 163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.15 : 228.63 = 109.47 : x
  2. Step 2: Convert to fraction form
    153.15/228.63 = 109.47/x
  3. Step 3: Cross multiply
    153.15x = 228.63 × 109.47
  4. Step 4: Simplify right side
    153.15x = 25,028.13
  5. Step 5: Solve for x
    x = 25,028.13/153.15
  6. Step 6: Final answer
    x = 163.42

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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.