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Finding the Fourth Proportional to 351.45, 525.14 and 253.49

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Solution

The fourth proportional to 351.45, 525.14 and 253.49 is: 378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.45 : 525.14 = 253.49 : x
  2. Step 2: Convert to fraction form
    351.45/525.14 = 253.49/x
  3. Step 3: Cross multiply
    351.45x = 525.14 × 253.49
  4. Step 4: Simplify right side
    351.45x = 133,115.75
  5. Step 5: Solve for x
    x = 133,115.75/351.45
  6. Step 6: Final answer
    x = 378.76

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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.