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Finding the Fourth Proportional to 401.42, 601.83 and 228.02

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Solution

The fourth proportional to 401.42, 601.83 and 228.02 is: 341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.42 : 601.83 = 228.02 : x
  2. Step 2: Convert to fraction form
    401.42/601.83 = 228.02/x
  3. Step 3: Cross multiply
    401.42x = 601.83 × 228.02
  4. Step 4: Simplify right side
    401.42x = 137,226.27
  5. Step 5: Solve for x
    x = 137,226.27/401.42
  6. Step 6: Final answer
    x = 341.85

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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.