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Finding the Fourth Proportional to 355.94, 491.26 and 272.12

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Solution

The fourth proportional to 355.94, 491.26 and 272.12 is: 375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.94 : 491.26 = 272.12 : x
  2. Step 2: Convert to fraction form
    355.94/491.26 = 272.12/x
  3. Step 3: Cross multiply
    355.94x = 491.26 × 272.12
  4. Step 4: Simplify right side
    355.94x = 133,681.67
  5. Step 5: Solve for x
    x = 133,681.67/355.94
  6. Step 6: Final answer
    x = 375.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.