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Finding the Fourth Proportional to 309.96, 430.55 and 305.00

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Solution

The fourth proportional to 309.96, 430.55 and 305.00 is: 423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 430.55 = 305.00 : x
  2. Step 2: Convert to fraction form
    309.96/430.55 = 305.00/x
  3. Step 3: Cross multiply
    309.96x = 430.55 × 305.00
  4. Step 4: Simplify right side
    309.96x = 131,316.83
  5. Step 5: Solve for x
    x = 131,316.83/309.96
  6. Step 6: Final answer
    x = 423.66

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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.