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Finding the Fourth Proportional to 313.63, 432.71 and 203.25

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Solution

The fourth proportional to 313.63, 432.71 and 203.25 is: 280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.63 : 432.71 = 203.25 : x
  2. Step 2: Convert to fraction form
    313.63/432.71 = 203.25/x
  3. Step 3: Cross multiply
    313.63x = 432.71 × 203.25
  4. Step 4: Simplify right side
    313.63x = 87,945.13
  5. Step 5: Solve for x
    x = 87,945.13/313.63
  6. Step 6: Final answer
    x = 280.41

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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.