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Finding the Fourth Proportional to 390.97, 539.27 and 266.58

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Solution

The fourth proportional to 390.97, 539.27 and 266.58 is: 367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.97 : 539.27 = 266.58 : x
  2. Step 2: Convert to fraction form
    390.97/539.27 = 266.58/x
  3. Step 3: Cross multiply
    390.97x = 539.27 × 266.58
  4. Step 4: Simplify right side
    390.97x = 143,758.60
  5. Step 5: Solve for x
    x = 143,758.60/390.97
  6. Step 6: Final answer
    x = 367.70

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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.