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Finding the Fourth Proportional to 272.90, 406.66 and 264.18

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Solution

The fourth proportional to 272.90, 406.66 and 264.18 is: 393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.90 : 406.66 = 264.18 : x
  2. Step 2: Convert to fraction form
    272.90/406.66 = 264.18/x
  3. Step 3: Cross multiply
    272.90x = 406.66 × 264.18
  4. Step 4: Simplify right side
    272.90x = 107,431.44
  5. Step 5: Solve for x
    x = 107,431.44/272.90
  6. Step 6: Final answer
    x = 393.67

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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.