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Finding the Fourth Proportional to 351.50, 526.42 and 188.78

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Solution

The fourth proportional to 351.50, 526.42 and 188.78 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.50 : 526.42 = 188.78 : x
  2. Step 2: Convert to fraction form
    351.50/526.42 = 188.78/x
  3. Step 3: Cross multiply
    351.50x = 526.42 × 188.78
  4. Step 4: Simplify right side
    351.50x = 99,377.57
  5. Step 5: Solve for x
    x = 99,377.57/351.50
  6. Step 6: Final answer
    x = 282.72

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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.