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Finding the Fourth Proportional to 336.19, 460.59 and 323.23

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Solution

The fourth proportional to 336.19, 460.59 and 323.23 is: 442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.19 : 460.59 = 323.23 : x
  2. Step 2: Convert to fraction form
    336.19/460.59 = 323.23/x
  3. Step 3: Cross multiply
    336.19x = 460.59 × 323.23
  4. Step 4: Simplify right side
    336.19x = 148,876.51
  5. Step 5: Solve for x
    x = 148,876.51/336.19
  6. Step 6: Final answer
    x = 442.83

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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.