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Finding the Fourth Proportional to 336.68, 461.14 and 320.24

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Solution

The fourth proportional to 336.68, 461.14 and 320.24 is: 438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.68 : 461.14 = 320.24 : x
  2. Step 2: Convert to fraction form
    336.68/461.14 = 320.24/x
  3. Step 3: Cross multiply
    336.68x = 461.14 × 320.24
  4. Step 4: Simplify right side
    336.68x = 147,675.47
  5. Step 5: Solve for x
    x = 147,675.47/336.68
  6. Step 6: Final answer
    x = 438.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.