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Finding the Fourth Proportional to 402.46, 555.34 and 278.44

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Solution

The fourth proportional to 402.46, 555.34 and 278.44 is: 384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.46 : 555.34 = 278.44 : x
  2. Step 2: Convert to fraction form
    402.46/555.34 = 278.44/x
  3. Step 3: Cross multiply
    402.46x = 555.34 × 278.44
  4. Step 4: Simplify right side
    402.46x = 154,628.87
  5. Step 5: Solve for x
    x = 154,628.87/402.46
  6. Step 6: Final answer
    x = 384.21

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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.