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Finding the Fourth Proportional to 352.76, 486.23 and 278.91

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Solution

The fourth proportional to 352.76, 486.23 and 278.91 is: 384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.76 : 486.23 = 278.91 : x
  2. Step 2: Convert to fraction form
    352.76/486.23 = 278.91/x
  3. Step 3: Cross multiply
    352.76x = 486.23 × 278.91
  4. Step 4: Simplify right side
    352.76x = 135,613.01
  5. Step 5: Solve for x
    x = 135,613.01/352.76
  6. Step 6: Final answer
    x = 384.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.