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Finding the Fourth Proportional to 312.26, 430.99 and 253.94

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Solution

The fourth proportional to 312.26, 430.99 and 253.94 is: 350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.26 : 430.99 = 253.94 : x
  2. Step 2: Convert to fraction form
    312.26/430.99 = 253.94/x
  3. Step 3: Cross multiply
    312.26x = 430.99 × 253.94
  4. Step 4: Simplify right side
    312.26x = 109,442.81
  5. Step 5: Solve for x
    x = 109,442.81/312.26
  6. Step 6: Final answer
    x = 350.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.