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Finding the Fourth Proportional to 326.32, 489.25 and 120.77

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Solution

The fourth proportional to 326.32, 489.25 and 120.77 is: 181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.32 : 489.25 = 120.77 : x
  2. Step 2: Convert to fraction form
    326.32/489.25 = 120.77/x
  3. Step 3: Cross multiply
    326.32x = 489.25 × 120.77
  4. Step 4: Simplify right side
    326.32x = 59,089.35
  5. Step 5: Solve for x
    x = 59,089.35/326.32
  6. Step 6: Final answer
    x = 181.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.