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Finding the Fourth Proportional to 325.46, 486.28 and 314.12

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Solution

The fourth proportional to 325.46, 486.28 and 314.12 is: 469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.46 : 486.28 = 314.12 : x
  2. Step 2: Convert to fraction form
    325.46/486.28 = 314.12/x
  3. Step 3: Cross multiply
    325.46x = 486.28 × 314.12
  4. Step 4: Simplify right side
    325.46x = 152,750.27
  5. Step 5: Solve for x
    x = 152,750.27/325.46
  6. Step 6: Final answer
    x = 469.34

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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.