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Finding the Fourth Proportional to 313.46, 472.02 and 275.36

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Solution

The fourth proportional to 313.46, 472.02 and 275.36 is: 414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.46 : 472.02 = 275.36 : x
  2. Step 2: Convert to fraction form
    313.46/472.02 = 275.36/x
  3. Step 3: Cross multiply
    313.46x = 472.02 × 275.36
  4. Step 4: Simplify right side
    313.46x = 129,975.43
  5. Step 5: Solve for x
    x = 129,975.43/313.46
  6. Step 6: Final answer
    x = 414.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.