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Finding the Fourth Proportional to 390.57, 541.45 and 369.76

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Solution

The fourth proportional to 390.57, 541.45 and 369.76 is: 512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.57 : 541.45 = 369.76 : x
  2. Step 2: Convert to fraction form
    390.57/541.45 = 369.76/x
  3. Step 3: Cross multiply
    390.57x = 541.45 × 369.76
  4. Step 4: Simplify right side
    390.57x = 200,204.27
  5. Step 5: Solve for x
    x = 200,204.27/390.57
  6. Step 6: Final answer
    x = 512.60

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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.