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Finding the Fourth Proportional to 322.98, 444.60 and 288.06

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Solution

The fourth proportional to 322.98, 444.60 and 288.06 is: 396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.98 : 444.60 = 288.06 : x
  2. Step 2: Convert to fraction form
    322.98/444.60 = 288.06/x
  3. Step 3: Cross multiply
    322.98x = 444.60 × 288.06
  4. Step 4: Simplify right side
    322.98x = 128,071.48
  5. Step 5: Solve for x
    x = 128,071.48/322.98
  6. Step 6: Final answer
    x = 396.53

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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.