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Finding the Fourth Proportional to 305.85, 459.08 and 207.01

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Solution

The fourth proportional to 305.85, 459.08 and 207.01 is: 310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.85 : 459.08 = 207.01 : x
  2. Step 2: Convert to fraction form
    305.85/459.08 = 207.01/x
  3. Step 3: Cross multiply
    305.85x = 459.08 × 207.01
  4. Step 4: Simplify right side
    305.85x = 95,034.15
  5. Step 5: Solve for x
    x = 95,034.15/305.85
  6. Step 6: Final answer
    x = 310.72

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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.