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Finding the Fourth Proportional to 325.98, 450.30 and 253.14

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Solution

The fourth proportional to 325.98, 450.30 and 253.14 is: 349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.98 : 450.30 = 253.14 : x
  2. Step 2: Convert to fraction form
    325.98/450.30 = 253.14/x
  3. Step 3: Cross multiply
    325.98x = 450.30 × 253.14
  4. Step 4: Simplify right side
    325.98x = 113,988.94
  5. Step 5: Solve for x
    x = 113,988.94/325.98
  6. Step 6: Final answer
    x = 349.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.