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Finding the Fourth Proportional to 313.07, 471.47 and 272.97

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Solution

The fourth proportional to 313.07, 471.47 and 272.97 is: 411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.07 : 471.47 = 272.97 : x
  2. Step 2: Convert to fraction form
    313.07/471.47 = 272.97/x
  3. Step 3: Cross multiply
    313.07x = 471.47 × 272.97
  4. Step 4: Simplify right side
    313.07x = 128,697.34
  5. Step 5: Solve for x
    x = 128,697.34/313.07
  6. Step 6: Final answer
    x = 411.09

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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.