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Finding the Fourth Proportional to 154.99, 230.80 and 153.29

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Solution

The fourth proportional to 154.99, 230.80 and 153.29 is: 228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.99 : 230.80 = 153.29 : x
  2. Step 2: Convert to fraction form
    154.99/230.80 = 153.29/x
  3. Step 3: Cross multiply
    154.99x = 230.80 × 153.29
  4. Step 4: Simplify right side
    154.99x = 35,379.33
  5. Step 5: Solve for x
    x = 35,379.33/154.99
  6. Step 6: Final answer
    x = 228.27

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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.