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Finding the Fourth Proportional to 402.84, 556.02 and 286.74

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Solution

The fourth proportional to 402.84, 556.02 and 286.74 is: 395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.84 : 556.02 = 286.74 : x
  2. Step 2: Convert to fraction form
    402.84/556.02 = 286.74/x
  3. Step 3: Cross multiply
    402.84x = 556.02 × 286.74
  4. Step 4: Simplify right side
    402.84x = 159,433.17
  5. Step 5: Solve for x
    x = 159,433.17/402.84
  6. Step 6: Final answer
    x = 395.77

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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.