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Finding the Fourth Proportional to 351.10, 526.25 and 212.31

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Solution

The fourth proportional to 351.10, 526.25 and 212.31 is: 318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.10 : 526.25 = 212.31 : x
  2. Step 2: Convert to fraction form
    351.10/526.25 = 212.31/x
  3. Step 3: Cross multiply
    351.10x = 526.25 × 212.31
  4. Step 4: Simplify right side
    351.10x = 111,728.14
  5. Step 5: Solve for x
    x = 111,728.14/351.10
  6. Step 6: Final answer
    x = 318.22

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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.