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Finding the Fourth Proportional to 312.62, 432.03 and 253.49

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Solution

The fourth proportional to 312.62, 432.03 and 253.49 is: 350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.62 : 432.03 = 253.49 : x
  2. Step 2: Convert to fraction form
    312.62/432.03 = 253.49/x
  3. Step 3: Cross multiply
    312.62x = 432.03 × 253.49
  4. Step 4: Simplify right side
    312.62x = 109,515.28
  5. Step 5: Solve for x
    x = 109,515.28/312.62
  6. Step 6: Final answer
    x = 350.31

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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.