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Finding the Fourth Proportional to 325.76, 486.40 and 289.28

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Solution

The fourth proportional to 325.76, 486.40 and 289.28 is: 431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.76 : 486.40 = 289.28 : x
  2. Step 2: Convert to fraction form
    325.76/486.40 = 289.28/x
  3. Step 3: Cross multiply
    325.76x = 486.40 × 289.28
  4. Step 4: Simplify right side
    325.76x = 140,705.79
  5. Step 5: Solve for x
    x = 140,705.79/325.76
  6. Step 6: Final answer
    x = 431.93

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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.