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Finding the Fourth Proportional to 321.46, 444.45 and 288.34

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Solution

The fourth proportional to 321.46, 444.45 and 288.34 is: 398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.46 : 444.45 = 288.34 : x
  2. Step 2: Convert to fraction form
    321.46/444.45 = 288.34/x
  3. Step 3: Cross multiply
    321.46x = 444.45 × 288.34
  4. Step 4: Simplify right side
    321.46x = 128,152.71
  5. Step 5: Solve for x
    x = 128,152.71/321.46
  6. Step 6: Final answer
    x = 398.66

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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.