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Finding the Fourth Proportional to 401.76, 557.02 and 379.92

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Solution

The fourth proportional to 401.76, 557.02 and 379.92 is: 526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.76 : 557.02 = 379.92 : x
  2. Step 2: Convert to fraction form
    401.76/557.02 = 379.92/x
  3. Step 3: Cross multiply
    401.76x = 557.02 × 379.92
  4. Step 4: Simplify right side
    401.76x = 211,623.04
  5. Step 5: Solve for x
    x = 211,623.04/401.76
  6. Step 6: Final answer
    x = 526.74

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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.