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Finding the Fourth Proportional to 314.26, 430.86 and 309.48

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Solution

The fourth proportional to 314.26, 430.86 and 309.48 is: 424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.26 : 430.86 = 309.48 : x
  2. Step 2: Convert to fraction form
    314.26/430.86 = 309.48/x
  3. Step 3: Cross multiply
    314.26x = 430.86 × 309.48
  4. Step 4: Simplify right side
    314.26x = 133,342.55
  5. Step 5: Solve for x
    x = 133,342.55/314.26
  6. Step 6: Final answer
    x = 424.31

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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.