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Finding the Fourth Proportional to 325.32, 485.45 and 288.90

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Solution

The fourth proportional to 325.32, 485.45 and 288.90 is: 431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.32 : 485.45 = 288.90 : x
  2. Step 2: Convert to fraction form
    325.32/485.45 = 288.90/x
  3. Step 3: Cross multiply
    325.32x = 485.45 × 288.90
  4. Step 4: Simplify right side
    325.32x = 140,245.06
  5. Step 5: Solve for x
    x = 140,245.06/325.32
  6. Step 6: Final answer
    x = 431.10

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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.