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Finding the Fourth Proportional to 351.28, 526.53 and 145.78

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Solution

The fourth proportional to 351.28, 526.53 and 145.78 is: 218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.28 : 526.53 = 145.78 : x
  2. Step 2: Convert to fraction form
    351.28/526.53 = 145.78/x
  3. Step 3: Cross multiply
    351.28x = 526.53 × 145.78
  4. Step 4: Simplify right side
    351.28x = 76,757.54
  5. Step 5: Solve for x
    x = 76,757.54/351.28
  6. Step 6: Final answer
    x = 218.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.