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Finding the Fourth Proportional to 309.54, 430.10 and 306.33

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Solution

The fourth proportional to 309.54, 430.10 and 306.33 is: 425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.54 : 430.10 = 306.33 : x
  2. Step 2: Convert to fraction form
    309.54/430.10 = 306.33/x
  3. Step 3: Cross multiply
    309.54x = 430.10 × 306.33
  4. Step 4: Simplify right side
    309.54x = 131,752.84
  5. Step 5: Solve for x
    x = 131,752.84/309.54
  6. Step 6: Final answer
    x = 425.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.