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Finding the Fourth Proportional to 324.99, 448.29 and 242.01

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Solution

The fourth proportional to 324.99, 448.29 and 242.01 is: 333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.99 : 448.29 = 242.01 : x
  2. Step 2: Convert to fraction form
    324.99/448.29 = 242.01/x
  3. Step 3: Cross multiply
    324.99x = 448.29 × 242.01
  4. Step 4: Simplify right side
    324.99x = 108,490.66
  5. Step 5: Solve for x
    x = 108,490.66/324.99
  6. Step 6: Final answer
    x = 333.83

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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.