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Finding the Fourth Proportional to 154.86, 213.72 and 89.37

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Solution

The fourth proportional to 154.86, 213.72 and 89.37 is: 123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.86 : 213.72 = 89.37 : x
  2. Step 2: Convert to fraction form
    154.86/213.72 = 89.37/x
  3. Step 3: Cross multiply
    154.86x = 213.72 × 89.37
  4. Step 4: Simplify right side
    154.86x = 19,100.16
  5. Step 5: Solve for x
    x = 19,100.16/154.86
  6. Step 6: Final answer
    x = 123.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.