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Finding the Fourth Proportional to 367.16, 506.41 and 256.66

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Solution

The fourth proportional to 367.16, 506.41 and 256.66 is: 354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.16 : 506.41 = 256.66 : x
  2. Step 2: Convert to fraction form
    367.16/506.41 = 256.66/x
  3. Step 3: Cross multiply
    367.16x = 506.41 × 256.66
  4. Step 4: Simplify right side
    367.16x = 129,973.28
  5. Step 5: Solve for x
    x = 129,973.28/367.16
  6. Step 6: Final answer
    x = 354.00

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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.