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Finding the Fourth Proportional to 482.25, 723.32 and 238.93

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Solution

The fourth proportional to 482.25, 723.32 and 238.93 is: 358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.25 : 723.32 = 238.93 : x
  2. Step 2: Convert to fraction form
    482.25/723.32 = 238.93/x
  3. Step 3: Cross multiply
    482.25x = 723.32 × 238.93
  4. Step 4: Simplify right side
    482.25x = 172,823.44
  5. Step 5: Solve for x
    x = 172,823.44/482.25
  6. Step 6: Final answer
    x = 358.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.