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Finding the Fourth Proportional to 337.36, 505.07 and 228.95

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Solution

The fourth proportional to 337.36, 505.07 and 228.95 is: 342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.36 : 505.07 = 228.95 : x
  2. Step 2: Convert to fraction form
    337.36/505.07 = 228.95/x
  3. Step 3: Cross multiply
    337.36x = 505.07 × 228.95
  4. Step 4: Simplify right side
    337.36x = 115,635.78
  5. Step 5: Solve for x
    x = 115,635.78/337.36
  6. Step 6: Final answer
    x = 342.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.