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Finding the Fourth Proportional to 326.55, 489.71 and 118.26

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Solution

The fourth proportional to 326.55, 489.71 and 118.26 is: 177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.55 : 489.71 = 118.26 : x
  2. Step 2: Convert to fraction form
    326.55/489.71 = 118.26/x
  3. Step 3: Cross multiply
    326.55x = 489.71 × 118.26
  4. Step 4: Simplify right side
    326.55x = 57,913.40
  5. Step 5: Solve for x
    x = 57,913.40/326.55
  6. Step 6: Final answer
    x = 177.35

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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.