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Finding the Fourth Proportional to 379.92, 526.89 and 356.16

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Solution

The fourth proportional to 379.92, 526.89 and 356.16 is: 493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.92 : 526.89 = 356.16 : x
  2. Step 2: Convert to fraction form
    379.92/526.89 = 356.16/x
  3. Step 3: Cross multiply
    379.92x = 526.89 × 356.16
  4. Step 4: Simplify right side
    379.92x = 187,657.14
  5. Step 5: Solve for x
    x = 187,657.14/379.92
  6. Step 6: Final answer
    x = 493.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.