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Finding the Fourth Proportional to 328.55, 454.11 and 288.91

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Solution

The fourth proportional to 328.55, 454.11 and 288.91 is: 399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.55 : 454.11 = 288.91 : x
  2. Step 2: Convert to fraction form
    328.55/454.11 = 288.91/x
  3. Step 3: Cross multiply
    328.55x = 454.11 × 288.91
  4. Step 4: Simplify right side
    328.55x = 131,195.78
  5. Step 5: Solve for x
    x = 131,195.78/328.55
  6. Step 6: Final answer
    x = 399.32

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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.