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Finding the Fourth Proportional to 367.91, 507.83 and 210.63

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Solution

The fourth proportional to 367.91, 507.83 and 210.63 is: 290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.91 : 507.83 = 210.63 : x
  2. Step 2: Convert to fraction form
    367.91/507.83 = 210.63/x
  3. Step 3: Cross multiply
    367.91x = 507.83 × 210.63
  4. Step 4: Simplify right side
    367.91x = 106,963.18
  5. Step 5: Solve for x
    x = 106,963.18/367.91
  6. Step 6: Final answer
    x = 290.73

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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.