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Finding the Fourth Proportional to 402.79, 556.38 and 278.23

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Solution

The fourth proportional to 402.79, 556.38 and 278.23 is: 384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.79 : 556.38 = 278.23 : x
  2. Step 2: Convert to fraction form
    402.79/556.38 = 278.23/x
  3. Step 3: Cross multiply
    402.79x = 556.38 × 278.23
  4. Step 4: Simplify right side
    402.79x = 154,801.61
  5. Step 5: Solve for x
    x = 154,801.61/402.79
  6. Step 6: Final answer
    x = 384.32

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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.