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Finding the Fourth Proportional to 403.06, 556.24 and 228.42

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Solution

The fourth proportional to 403.06, 556.24 and 228.42 is: 315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.06 : 556.24 = 228.42 : x
  2. Step 2: Convert to fraction form
    403.06/556.24 = 228.42/x
  3. Step 3: Cross multiply
    403.06x = 556.24 × 228.42
  4. Step 4: Simplify right side
    403.06x = 127,056.34
  5. Step 5: Solve for x
    x = 127,056.34/403.06
  6. Step 6: Final answer
    x = 315.23

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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.