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Finding the Fourth Proportional to 351.28, 526.88 and 214.32

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Solution

The fourth proportional to 351.28, 526.88 and 214.32 is: 321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.28 : 526.88 = 214.32 : x
  2. Step 2: Convert to fraction form
    351.28/526.88 = 214.32/x
  3. Step 3: Cross multiply
    351.28x = 526.88 × 214.32
  4. Step 4: Simplify right side
    351.28x = 112,920.92
  5. Step 5: Solve for x
    x = 112,920.92/351.28
  6. Step 6: Final answer
    x = 321.46

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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.