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Finding the Fourth Proportional to 321.48, 442.58 and 288.66

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Solution

The fourth proportional to 321.48, 442.58 and 288.66 is: 397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.48 : 442.58 = 288.66 : x
  2. Step 2: Convert to fraction form
    321.48/442.58 = 288.66/x
  3. Step 3: Cross multiply
    321.48x = 442.58 × 288.66
  4. Step 4: Simplify right side
    321.48x = 127,753.70
  5. Step 5: Solve for x
    x = 127,753.70/321.48
  6. Step 6: Final answer
    x = 397.39

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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.