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Finding the Fourth Proportional to 402.20, 555.06 and 286.28

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Solution

The fourth proportional to 402.20, 555.06 and 286.28 is: 395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.20 : 555.06 = 286.28 : x
  2. Step 2: Convert to fraction form
    402.20/555.06 = 286.28/x
  3. Step 3: Cross multiply
    402.20x = 555.06 × 286.28
  4. Step 4: Simplify right side
    402.20x = 158,902.58
  5. Step 5: Solve for x
    x = 158,902.58/402.20
  6. Step 6: Final answer
    x = 395.08

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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.