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Finding the Fourth Proportional to 488.07, 731.08 and 228.29

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Solution

The fourth proportional to 488.07, 731.08 and 228.29 is: 341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.07 : 731.08 = 228.29 : x
  2. Step 2: Convert to fraction form
    488.07/731.08 = 228.29/x
  3. Step 3: Cross multiply
    488.07x = 731.08 × 228.29
  4. Step 4: Simplify right side
    488.07x = 166,898.25
  5. Step 5: Solve for x
    x = 166,898.25/488.07
  6. Step 6: Final answer
    x = 341.96

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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.