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Finding the Fourth Proportional to 320.91, 483.25 and 230.24

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Solution

The fourth proportional to 320.91, 483.25 and 230.24 is: 346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.91 : 483.25 = 230.24 : x
  2. Step 2: Convert to fraction form
    320.91/483.25 = 230.24/x
  3. Step 3: Cross multiply
    320.91x = 483.25 × 230.24
  4. Step 4: Simplify right side
    320.91x = 111,264.06
  5. Step 5: Solve for x
    x = 111,264.06/320.91
  6. Step 6: Final answer
    x = 346.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.