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Finding the Fourth Proportional to 418.15, 624.83 and 318.77

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Solution

The fourth proportional to 418.15, 624.83 and 318.77 is: 476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.15 : 624.83 = 318.77 : x
  2. Step 2: Convert to fraction form
    418.15/624.83 = 318.77/x
  3. Step 3: Cross multiply
    418.15x = 624.83 × 318.77
  4. Step 4: Simplify right side
    418.15x = 199,177.06
  5. Step 5: Solve for x
    x = 199,177.06/418.15
  6. Step 6: Final answer
    x = 476.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.