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Finding the Fourth Proportional to 322.31, 482.99 and 264.94

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Solution

The fourth proportional to 322.31, 482.99 and 264.94 is: 397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.31 : 482.99 = 264.94 : x
  2. Step 2: Convert to fraction form
    322.31/482.99 = 264.94/x
  3. Step 3: Cross multiply
    322.31x = 482.99 × 264.94
  4. Step 4: Simplify right side
    322.31x = 127,959.63
  5. Step 5: Solve for x
    x = 127,959.63/322.31
  6. Step 6: Final answer
    x = 397.01

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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.