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Finding the Fourth Proportional to 304.81, 458.76 and 228.18

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Solution

The fourth proportional to 304.81, 458.76 and 228.18 is: 343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.81 : 458.76 = 228.18 : x
  2. Step 2: Convert to fraction form
    304.81/458.76 = 228.18/x
  3. Step 3: Cross multiply
    304.81x = 458.76 × 228.18
  4. Step 4: Simplify right side
    304.81x = 104,679.86
  5. Step 5: Solve for x
    x = 104,679.86/304.81
  6. Step 6: Final answer
    x = 343.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.