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Finding the Fourth Proportional to 307.92, 423.60 and 266.16

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Solution

The fourth proportional to 307.92, 423.60 and 266.16 is: 366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.92 : 423.60 = 266.16 : x
  2. Step 2: Convert to fraction form
    307.92/423.60 = 266.16/x
  3. Step 3: Cross multiply
    307.92x = 423.60 × 266.16
  4. Step 4: Simplify right side
    307.92x = 112,745.38
  5. Step 5: Solve for x
    x = 112,745.38/307.92
  6. Step 6: Final answer
    x = 366.15

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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.