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Finding the Fourth Proportional to 322.76, 444.98 and 260.52

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Solution

The fourth proportional to 322.76, 444.98 and 260.52 is: 359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.76 : 444.98 = 260.52 : x
  2. Step 2: Convert to fraction form
    322.76/444.98 = 260.52/x
  3. Step 3: Cross multiply
    322.76x = 444.98 × 260.52
  4. Step 4: Simplify right side
    322.76x = 115,926.19
  5. Step 5: Solve for x
    x = 115,926.19/322.76
  6. Step 6: Final answer
    x = 359.17

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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.