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Finding the Fourth Proportional to 323.07, 482.57 and 269.01

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Solution

The fourth proportional to 323.07, 482.57 and 269.01 is: 401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.07 : 482.57 = 269.01 : x
  2. Step 2: Convert to fraction form
    323.07/482.57 = 269.01/x
  3. Step 3: Cross multiply
    323.07x = 482.57 × 269.01
  4. Step 4: Simplify right side
    323.07x = 129,814.81
  5. Step 5: Solve for x
    x = 129,814.81/323.07
  6. Step 6: Final answer
    x = 401.82

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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.