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Finding the Fourth Proportional to 309.90, 462.63 and 299.08

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Solution

The fourth proportional to 309.90, 462.63 and 299.08 is: 446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.90 : 462.63 = 299.08 : x
  2. Step 2: Convert to fraction form
    309.90/462.63 = 299.08/x
  3. Step 3: Cross multiply
    309.90x = 462.63 × 299.08
  4. Step 4: Simplify right side
    309.90x = 138,363.38
  5. Step 5: Solve for x
    x = 138,363.38/309.90
  6. Step 6: Final answer
    x = 446.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.