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Finding the Fourth Proportional to 302.61, 418.21 and 228.90

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Solution

The fourth proportional to 302.61, 418.21 and 228.90 is: 316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.61 : 418.21 = 228.90 : x
  2. Step 2: Convert to fraction form
    302.61/418.21 = 228.90/x
  3. Step 3: Cross multiply
    302.61x = 418.21 × 228.90
  4. Step 4: Simplify right side
    302.61x = 95,728.27
  5. Step 5: Solve for x
    x = 95,728.27/302.61
  6. Step 6: Final answer
    x = 316.34

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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.