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Finding the Fourth Proportional to 402.76, 555.42 and 376.84

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Solution

The fourth proportional to 402.76, 555.42 and 376.84 is: 519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.76 : 555.42 = 376.84 : x
  2. Step 2: Convert to fraction form
    402.76/555.42 = 376.84/x
  3. Step 3: Cross multiply
    402.76x = 555.42 × 376.84
  4. Step 4: Simplify right side
    402.76x = 209,304.47
  5. Step 5: Solve for x
    x = 209,304.47/402.76
  6. Step 6: Final answer
    x = 519.68

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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.