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Finding the Fourth Proportional to 325.11, 485.28 and 282.08

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Solution

The fourth proportional to 325.11, 485.28 and 282.08 is: 421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.11 : 485.28 = 282.08 : x
  2. Step 2: Convert to fraction form
    325.11/485.28 = 282.08/x
  3. Step 3: Cross multiply
    325.11x = 485.28 × 282.08
  4. Step 4: Simplify right side
    325.11x = 136,886.06
  5. Step 5: Solve for x
    x = 136,886.06/325.11
  6. Step 6: Final answer
    x = 421.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.