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Finding the Fourth Proportional to 313.56, 472.68 and 292.68

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Solution

The fourth proportional to 313.56, 472.68 and 292.68 is: 441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.56 : 472.68 = 292.68 : x
  2. Step 2: Convert to fraction form
    313.56/472.68 = 292.68/x
  3. Step 3: Cross multiply
    313.56x = 472.68 × 292.68
  4. Step 4: Simplify right side
    313.56x = 138,343.98
  5. Step 5: Solve for x
    x = 138,343.98/313.56
  6. Step 6: Final answer
    x = 441.20

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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.