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Finding the Fourth Proportional to 465.13, 641.66 and 299.28

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Solution

The fourth proportional to 465.13, 641.66 and 299.28 is: 412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.13 : 641.66 = 299.28 : x
  2. Step 2: Convert to fraction form
    465.13/641.66 = 299.28/x
  3. Step 3: Cross multiply
    465.13x = 641.66 × 299.28
  4. Step 4: Simplify right side
    465.13x = 192,036.00
  5. Step 5: Solve for x
    x = 192,036.00/465.13
  6. Step 6: Final answer
    x = 412.87

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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.