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Finding the Fourth Proportional to 426.77, 588.67 and 277.43

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Solution

The fourth proportional to 426.77, 588.67 and 277.43 is: 382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.77 : 588.67 = 277.43 : x
  2. Step 2: Convert to fraction form
    426.77/588.67 = 277.43/x
  3. Step 3: Cross multiply
    426.77x = 588.67 × 277.43
  4. Step 4: Simplify right side
    426.77x = 163,311.08
  5. Step 5: Solve for x
    x = 163,311.08/426.77
  6. Step 6: Final answer
    x = 382.67

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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.