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Finding the Fourth Proportional to 488.86, 674.83 and 302.29

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Solution

The fourth proportional to 488.86, 674.83 and 302.29 is: 417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.86 : 674.83 = 302.29 : x
  2. Step 2: Convert to fraction form
    488.86/674.83 = 302.29/x
  3. Step 3: Cross multiply
    488.86x = 674.83 × 302.29
  4. Step 4: Simplify right side
    488.86x = 203,993.60
  5. Step 5: Solve for x
    x = 203,993.60/488.86
  6. Step 6: Final answer
    x = 417.28

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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.