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Finding the Fourth Proportional to 482.32, 665.44 and 307.63

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Solution

The fourth proportional to 482.32, 665.44 and 307.63 is: 424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.32 : 665.44 = 307.63 : x
  2. Step 2: Convert to fraction form
    482.32/665.44 = 307.63/x
  3. Step 3: Cross multiply
    482.32x = 665.44 × 307.63
  4. Step 4: Simplify right side
    482.32x = 204,709.31
  5. Step 5: Solve for x
    x = 204,709.31/482.32
  6. Step 6: Final answer
    x = 424.43

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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.