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Finding the Fourth Proportional to 309.93, 424.44 and 305.88

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Solution

The fourth proportional to 309.93, 424.44 and 305.88 is: 418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.93 : 424.44 = 305.88 : x
  2. Step 2: Convert to fraction form
    309.93/424.44 = 305.88/x
  3. Step 3: Cross multiply
    309.93x = 424.44 × 305.88
  4. Step 4: Simplify right side
    309.93x = 129,827.71
  5. Step 5: Solve for x
    x = 129,827.71/309.93
  6. Step 6: Final answer
    x = 418.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.