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Finding the Fourth Proportional to 310.50, 430.52 and 309.15

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Solution

The fourth proportional to 310.50, 430.52 and 309.15 is: 428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.50 : 430.52 = 309.15 : x
  2. Step 2: Convert to fraction form
    310.50/430.52 = 309.15/x
  3. Step 3: Cross multiply
    310.50x = 430.52 × 309.15
  4. Step 4: Simplify right side
    310.50x = 133,093.71
  5. Step 5: Solve for x
    x = 133,093.71/310.50
  6. Step 6: Final answer
    x = 428.64

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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.