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Finding the Fourth Proportional to 321.30, 440.55 and 290.10

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Solution

The fourth proportional to 321.30, 440.55 and 290.10 is: 397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.30 : 440.55 = 290.10 : x
  2. Step 2: Convert to fraction form
    321.30/440.55 = 290.10/x
  3. Step 3: Cross multiply
    321.30x = 440.55 × 290.10
  4. Step 4: Simplify right side
    321.30x = 127,803.56
  5. Step 5: Solve for x
    x = 127,803.56/321.30
  6. Step 6: Final answer
    x = 397.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.