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Finding the Fourth Proportional to 272.79, 407.05 and 266.58

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Solution

The fourth proportional to 272.79, 407.05 and 266.58 is: 397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.79 : 407.05 = 266.58 : x
  2. Step 2: Convert to fraction form
    272.79/407.05 = 266.58/x
  3. Step 3: Cross multiply
    272.79x = 407.05 × 266.58
  4. Step 4: Simplify right side
    272.79x = 108,511.39
  5. Step 5: Solve for x
    x = 108,511.39/272.79
  6. Step 6: Final answer
    x = 397.78

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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.