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Finding the Fourth Proportional to 325.78, 486.74 and 310.66

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Solution

The fourth proportional to 325.78, 486.74 and 310.66 is: 464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.78 : 486.74 = 310.66 : x
  2. Step 2: Convert to fraction form
    325.78/486.74 = 310.66/x
  3. Step 3: Cross multiply
    325.78x = 486.74 × 310.66
  4. Step 4: Simplify right side
    325.78x = 151,208.46
  5. Step 5: Solve for x
    x = 151,208.46/325.78
  6. Step 6: Final answer
    x = 464.15

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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.