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Finding the Fourth Proportional to 309.88, 430.60 and 306.51

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Solution

The fourth proportional to 309.88, 430.60 and 306.51 is: 425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 430.60 = 306.51 : x
  2. Step 2: Convert to fraction form
    309.88/430.60 = 306.51/x
  3. Step 3: Cross multiply
    309.88x = 430.60 × 306.51
  4. Step 4: Simplify right side
    309.88x = 131,983.21
  5. Step 5: Solve for x
    x = 131,983.21/309.88
  6. Step 6: Final answer
    x = 425.92

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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.