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Finding the Fourth Proportional to 450.90, 621.45 and 311.04

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Solution

The fourth proportional to 450.90, 621.45 and 311.04 is: 428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.90 : 621.45 = 311.04 : x
  2. Step 2: Convert to fraction form
    450.90/621.45 = 311.04/x
  3. Step 3: Cross multiply
    450.90x = 621.45 × 311.04
  4. Step 4: Simplify right side
    450.90x = 193,295.81
  5. Step 5: Solve for x
    x = 193,295.81/450.90
  6. Step 6: Final answer
    x = 428.69

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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.