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Finding the Fourth Proportional to 450.16, 621.39 and 319.30

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Solution

The fourth proportional to 450.16, 621.39 and 319.30 is: 440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.16 : 621.39 = 319.30 : x
  2. Step 2: Convert to fraction form
    450.16/621.39 = 319.30/x
  3. Step 3: Cross multiply
    450.16x = 621.39 × 319.30
  4. Step 4: Simplify right side
    450.16x = 198,409.83
  5. Step 5: Solve for x
    x = 198,409.83/450.16
  6. Step 6: Final answer
    x = 440.75

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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.