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Finding the Fourth Proportional to 154.66, 233.23 and 143.41

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Solution

The fourth proportional to 154.66, 233.23 and 143.41 is: 216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.66 : 233.23 = 143.41 : x
  2. Step 2: Convert to fraction form
    154.66/233.23 = 143.41/x
  3. Step 3: Cross multiply
    154.66x = 233.23 × 143.41
  4. Step 4: Simplify right side
    154.66x = 33,447.51
  5. Step 5: Solve for x
    x = 33,447.51/154.66
  6. Step 6: Final answer
    x = 216.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.