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Finding the Fourth Proportional to 383.22, 528.80 and 330.98

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Solution

The fourth proportional to 383.22, 528.80 and 330.98 is: 456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.22 : 528.80 = 330.98 : x
  2. Step 2: Convert to fraction form
    383.22/528.80 = 330.98/x
  3. Step 3: Cross multiply
    383.22x = 528.80 × 330.98
  4. Step 4: Simplify right side
    383.22x = 175,017.93
  5. Step 5: Solve for x
    x = 175,017.93/383.22
  6. Step 6: Final answer
    x = 456.70

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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.