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Finding the Fourth Proportional to 325.49, 484.92 and 311.51

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Solution

The fourth proportional to 325.49, 484.92 and 311.51 is: 464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.49 : 484.92 = 311.51 : x
  2. Step 2: Convert to fraction form
    325.49/484.92 = 311.51/x
  3. Step 3: Cross multiply
    325.49x = 484.92 × 311.51
  4. Step 4: Simplify right side
    325.49x = 151,058.64
  5. Step 5: Solve for x
    x = 151,058.64/325.49
  6. Step 6: Final answer
    x = 464.10

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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.