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Finding the Fourth Proportional to 326.60, 489.88 and 151.00

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Solution

The fourth proportional to 326.60, 489.88 and 151.00 is: 226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.60 : 489.88 = 151.00 : x
  2. Step 2: Convert to fraction form
    326.60/489.88 = 151.00/x
  3. Step 3: Cross multiply
    326.60x = 489.88 × 151.00
  4. Step 4: Simplify right side
    326.60x = 73,970.84
  5. Step 5: Solve for x
    x = 73,970.84/326.60
  6. Step 6: Final answer
    x = 226.49

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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.