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Finding the Fourth Proportional to 305.08, 459.91 and 285.00

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Solution

The fourth proportional to 305.08, 459.91 and 285.00 is: 429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.08 : 459.91 = 285.00 : x
  2. Step 2: Convert to fraction form
    305.08/459.91 = 285.00/x
  3. Step 3: Cross multiply
    305.08x = 459.91 × 285.00
  4. Step 4: Simplify right side
    305.08x = 131,072.05
  5. Step 5: Solve for x
    x = 131,072.05/305.08
  6. Step 6: Final answer
    x = 429.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.