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Finding the Fourth Proportional to 326.10, 488.54 and 280.02

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Solution

The fourth proportional to 326.10, 488.54 and 280.02 is: 419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.10 : 488.54 = 280.02 : x
  2. Step 2: Convert to fraction form
    326.10/488.54 = 280.02/x
  3. Step 3: Cross multiply
    326.10x = 488.54 × 280.02
  4. Step 4: Simplify right side
    326.10x = 136,800.97
  5. Step 5: Solve for x
    x = 136,800.97/326.10
  6. Step 6: Final answer
    x = 419.51

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