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Finding the Fourth Proportional to 391, 539.34 and 266.68

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Solution

The fourth proportional to 391, 539.34 and 266.68 is: 367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    391 : 539.34 = 266.68 : x
  2. Step 2: Convert to fraction form
    391/539.34 = 266.68/x
  3. Step 3: Cross multiply
    391x = 539.34 × 266.68
  4. Step 4: Simplify right side
    391x = 143,831.19
  5. Step 5: Solve for x
    x = 143,831.19/391
  6. Step 6: Final answer
    x = 367.85

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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.