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Finding the Fourth Proportional to 272.90, 407.79 and 266.74

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Solution

The fourth proportional to 272.90, 407.79 and 266.74 is: 398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.90 : 407.79 = 266.74 : x
  2. Step 2: Convert to fraction form
    272.90/407.79 = 266.74/x
  3. Step 3: Cross multiply
    272.90x = 407.79 × 266.74
  4. Step 4: Simplify right side
    272.90x = 108,772.89
  5. Step 5: Solve for x
    x = 108,772.89/272.90
  6. Step 6: Final answer
    x = 398.58

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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.