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Finding the Fourth Proportional to 482.04, 664.68 and 307.32

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Solution

The fourth proportional to 482.04, 664.68 and 307.32 is: 423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.04 : 664.68 = 307.32 : x
  2. Step 2: Convert to fraction form
    482.04/664.68 = 307.32/x
  3. Step 3: Cross multiply
    482.04x = 664.68 × 307.32
  4. Step 4: Simplify right side
    482.04x = 204,269.46
  5. Step 5: Solve for x
    x = 204,269.46/482.04
  6. Step 6: Final answer
    x = 423.76

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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.