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Finding the Fourth Proportional to 426.27, 587.71 and 278.67

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Solution

The fourth proportional to 426.27, 587.71 and 278.67 is: 384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.27 : 587.71 = 278.67 : x
  2. Step 2: Convert to fraction form
    426.27/587.71 = 278.67/x
  3. Step 3: Cross multiply
    426.27x = 587.71 × 278.67
  4. Step 4: Simplify right side
    426.27x = 163,773.51
  5. Step 5: Solve for x
    x = 163,773.51/426.27
  6. Step 6: Final answer
    x = 384.21

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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.