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Finding the Fourth Proportional to 482.32, 664.68 and 344.08

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Solution

The fourth proportional to 482.32, 664.68 and 344.08 is: 474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.32 : 664.68 = 344.08 : x
  2. Step 2: Convert to fraction form
    482.32/664.68 = 344.08/x
  3. Step 3: Cross multiply
    482.32x = 664.68 × 344.08
  4. Step 4: Simplify right side
    482.32x = 228,703.09
  5. Step 5: Solve for x
    x = 228,703.09/482.32
  6. Step 6: Final answer
    x = 474.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.