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Finding the Fourth Proportional to 322.11, 482.54 and 257.24

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Solution

The fourth proportional to 322.11, 482.54 and 257.24 is: 385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.11 : 482.54 = 257.24 : x
  2. Step 2: Convert to fraction form
    322.11/482.54 = 257.24/x
  3. Step 3: Cross multiply
    322.11x = 482.54 × 257.24
  4. Step 4: Simplify right side
    322.11x = 124,128.51
  5. Step 5: Solve for x
    x = 124,128.51/322.11
  6. Step 6: Final answer
    x = 385.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.