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Finding the Fourth Proportional to 402.51, 551.84 and 395.22

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Solution

The fourth proportional to 402.51, 551.84 and 395.22 is: 541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.51 : 551.84 = 395.22 : x
  2. Step 2: Convert to fraction form
    402.51/551.84 = 395.22/x
  3. Step 3: Cross multiply
    402.51x = 551.84 × 395.22
  4. Step 4: Simplify right side
    402.51x = 218,095.45
  5. Step 5: Solve for x
    x = 218,095.45/402.51
  6. Step 6: Final answer
    x = 541.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.