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Finding the Fourth Proportional to 309.72, 462.02 and 299.06

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Solution

The fourth proportional to 309.72, 462.02 and 299.06 is: 446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.72 : 462.02 = 299.06 : x
  2. Step 2: Convert to fraction form
    309.72/462.02 = 299.06/x
  3. Step 3: Cross multiply
    309.72x = 462.02 × 299.06
  4. Step 4: Simplify right side
    309.72x = 138,167.90
  5. Step 5: Solve for x
    x = 138,167.90/309.72
  6. Step 6: Final answer
    x = 446.11

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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.