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Finding the Fourth Proportional to 307.28, 458.48 and 266.78

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Solution

The fourth proportional to 307.28, 458.48 and 266.78 is: 398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.28 : 458.48 = 266.78 : x
  2. Step 2: Convert to fraction form
    307.28/458.48 = 266.78/x
  3. Step 3: Cross multiply
    307.28x = 458.48 × 266.78
  4. Step 4: Simplify right side
    307.28x = 122,309.67
  5. Step 5: Solve for x
    x = 122,309.67/307.28
  6. Step 6: Final answer
    x = 398.05

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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.