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Finding the Fourth Proportional to 272.58, 406.70 and 266.35

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Solution

The fourth proportional to 272.58, 406.70 and 266.35 is: 397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.58 : 406.70 = 266.35 : x
  2. Step 2: Convert to fraction form
    272.58/406.70 = 266.35/x
  3. Step 3: Cross multiply
    272.58x = 406.70 × 266.35
  4. Step 4: Simplify right side
    272.58x = 108,324.55
  5. Step 5: Solve for x
    x = 108,324.55/272.58
  6. Step 6: Final answer
    x = 397.40

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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.