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Finding the Fourth Proportional to 402.19, 553.83 and 393.10

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Solution

The fourth proportional to 402.19, 553.83 and 393.10 is: 541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.19 : 553.83 = 393.10 : x
  2. Step 2: Convert to fraction form
    402.19/553.83 = 393.10/x
  3. Step 3: Cross multiply
    402.19x = 553.83 × 393.10
  4. Step 4: Simplify right side
    402.19x = 217,710.57
  5. Step 5: Solve for x
    x = 217,710.57/402.19
  6. Step 6: Final answer
    x = 541.31

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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.