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Finding the Fourth Proportional to 426, 587.76 and 278.76

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Solution

The fourth proportional to 426, 587.76 and 278.76 is: 384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    426 : 587.76 = 278.76 : x
  2. Step 2: Convert to fraction form
    426/587.76 = 278.76/x
  3. Step 3: Cross multiply
    426x = 587.76 × 278.76
  4. Step 4: Simplify right side
    426x = 163,843.98
  5. Step 5: Solve for x
    x = 163,843.98/426
  6. Step 6: Final answer
    x = 384.61

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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.