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Finding the Fourth Proportional to 328.82, 454.86 and 290.03

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Solution

The fourth proportional to 328.82, 454.86 and 290.03 is: 401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.82 : 454.86 = 290.03 : x
  2. Step 2: Convert to fraction form
    328.82/454.86 = 290.03/x
  3. Step 3: Cross multiply
    328.82x = 454.86 × 290.03
  4. Step 4: Simplify right side
    328.82x = 131,920.77
  5. Step 5: Solve for x
    x = 131,920.77/328.82
  6. Step 6: Final answer
    x = 401.20

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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.