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Finding the Fourth Proportional to 309.08, 460.65 and 306.54

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Solution

The fourth proportional to 309.08, 460.65 and 306.54 is: 456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.08 : 460.65 = 306.54 : x
  2. Step 2: Convert to fraction form
    309.08/460.65 = 306.54/x
  3. Step 3: Cross multiply
    309.08x = 460.65 × 306.54
  4. Step 4: Simplify right side
    309.08x = 141,207.65
  5. Step 5: Solve for x
    x = 141,207.65/309.08
  6. Step 6: Final answer
    x = 456.86

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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.