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Finding the Fourth Proportional to 313.02, 431.43 and 225.66

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Solution

The fourth proportional to 313.02, 431.43 and 225.66 is: 311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.02 : 431.43 = 225.66 : x
  2. Step 2: Convert to fraction form
    313.02/431.43 = 225.66/x
  3. Step 3: Cross multiply
    313.02x = 431.43 × 225.66
  4. Step 4: Simplify right side
    313.02x = 97,356.49
  5. Step 5: Solve for x
    x = 97,356.49/313.02
  6. Step 6: Final answer
    x = 311.02

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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.