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Finding the Fourth Proportional to 153.66, 229.52 and 123.28

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Solution

The fourth proportional to 153.66, 229.52 and 123.28 is: 184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.66 : 229.52 = 123.28 : x
  2. Step 2: Convert to fraction form
    153.66/229.52 = 123.28/x
  3. Step 3: Cross multiply
    153.66x = 229.52 × 123.28
  4. Step 4: Simplify right side
    153.66x = 28,295.23
  5. Step 5: Solve for x
    x = 28,295.23/153.66
  6. Step 6: Final answer
    x = 184.14

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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.