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Finding the Fourth Proportional to 321.17, 442.67 and 288.36

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Solution

The fourth proportional to 321.17, 442.67 and 288.36 is: 397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.17 : 442.67 = 288.36 : x
  2. Step 2: Convert to fraction form
    321.17/442.67 = 288.36/x
  3. Step 3: Cross multiply
    321.17x = 442.67 × 288.36
  4. Step 4: Simplify right side
    321.17x = 127,646.88
  5. Step 5: Solve for x
    x = 127,646.88/321.17
  6. Step 6: Final answer
    x = 397.45

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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.