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Finding the Fourth Proportional to 390.11, 541.14 and 369.35

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Solution

The fourth proportional to 390.11, 541.14 and 369.35 is: 512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.11 : 541.14 = 369.35 : x
  2. Step 2: Convert to fraction form
    390.11/541.14 = 369.35/x
  3. Step 3: Cross multiply
    390.11x = 541.14 × 369.35
  4. Step 4: Simplify right side
    390.11x = 199,867.35
  5. Step 5: Solve for x
    x = 199,867.35/390.11
  6. Step 6: Final answer
    x = 512.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.