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Finding the Fourth Proportional to 451.29, 677.44 and 303.15

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Solution

The fourth proportional to 451.29, 677.44 and 303.15 is: 455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.29 : 677.44 = 303.15 : x
  2. Step 2: Convert to fraction form
    451.29/677.44 = 303.15/x
  3. Step 3: Cross multiply
    451.29x = 677.44 × 303.15
  4. Step 4: Simplify right side
    451.29x = 205,366.31
  5. Step 5: Solve for x
    x = 205,366.31/451.29
  6. Step 6: Final answer
    x = 455.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.