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Finding the Fourth Proportional to 488.99, 674.73 and 302.43

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Solution

The fourth proportional to 488.99, 674.73 and 302.43 is: 417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.99 : 674.73 = 302.43 : x
  2. Step 2: Convert to fraction form
    488.99/674.73 = 302.43/x
  3. Step 3: Cross multiply
    488.99x = 674.73 × 302.43
  4. Step 4: Simplify right side
    488.99x = 204,061.12
  5. Step 5: Solve for x
    x = 204,061.12/488.99
  6. Step 6: Final answer
    x = 417.31

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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.