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Finding the Fourth Proportional to 367.71, 507.86 and 285.81

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Solution

The fourth proportional to 367.71, 507.86 and 285.81 is: 394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.71 : 507.86 = 285.81 : x
  2. Step 2: Convert to fraction form
    367.71/507.86 = 285.81/x
  3. Step 3: Cross multiply
    367.71x = 507.86 × 285.81
  4. Step 4: Simplify right side
    367.71x = 145,151.47
  5. Step 5: Solve for x
    x = 145,151.47/367.71
  6. Step 6: Final answer
    x = 394.74

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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.