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Finding the Fourth Proportional to 390.56, 539.04 and 266.13

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Solution

The fourth proportional to 390.56, 539.04 and 266.13 is: 367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.56 : 539.04 = 266.13 : x
  2. Step 2: Convert to fraction form
    390.56/539.04 = 266.13/x
  3. Step 3: Cross multiply
    390.56x = 539.04 × 266.13
  4. Step 4: Simplify right side
    390.56x = 143,454.72
  5. Step 5: Solve for x
    x = 143,454.72/390.56
  6. Step 6: Final answer
    x = 367.31

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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.