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Finding the Fourth Proportional to 313.94, 471.36 and 253.58

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Solution

The fourth proportional to 313.94, 471.36 and 253.58 is: 380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.94 : 471.36 = 253.58 : x
  2. Step 2: Convert to fraction form
    313.94/471.36 = 253.58/x
  3. Step 3: Cross multiply
    313.94x = 471.36 × 253.58
  4. Step 4: Simplify right side
    313.94x = 119,527.47
  5. Step 5: Solve for x
    x = 119,527.47/313.94
  6. Step 6: Final answer
    x = 380.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.