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Finding the Fourth Proportional to 309.98, 461.60 and 306.58

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Solution

The fourth proportional to 309.98, 461.60 and 306.58 is: 456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.98 : 461.60 = 306.58 : x
  2. Step 2: Convert to fraction form
    309.98/461.60 = 306.58/x
  3. Step 3: Cross multiply
    309.98x = 461.60 × 306.58
  4. Step 4: Simplify right side
    309.98x = 141,517.33
  5. Step 5: Solve for x
    x = 141,517.33/309.98
  6. Step 6: Final answer
    x = 456.54

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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.