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Finding the Fourth Proportional to 313.82, 468.48 and 272.82

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Solution

The fourth proportional to 313.82, 468.48 and 272.82 is: 407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.82 : 468.48 = 272.82 : x
  2. Step 2: Convert to fraction form
    313.82/468.48 = 272.82/x
  3. Step 3: Cross multiply
    313.82x = 468.48 × 272.82
  4. Step 4: Simplify right side
    313.82x = 127,810.86
  5. Step 5: Solve for x
    x = 127,810.86/313.82
  6. Step 6: Final answer
    x = 407.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.