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Finding the Fourth Proportional to 321.36, 483.90 and 290.40

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Solution

The fourth proportional to 321.36, 483.90 and 290.40 is: 437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.36 : 483.90 = 290.40 : x
  2. Step 2: Convert to fraction form
    321.36/483.90 = 290.40/x
  3. Step 3: Cross multiply
    321.36x = 483.90 × 290.40
  4. Step 4: Simplify right side
    321.36x = 140,524.56
  5. Step 5: Solve for x
    x = 140,524.56/321.36
  6. Step 6: Final answer
    x = 437.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.