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Finding the Fourth Proportional to 426.11, 587.30 and 278.51

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Solution

The fourth proportional to 426.11, 587.30 and 278.51 is: 383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.11 : 587.30 = 278.51 : x
  2. Step 2: Convert to fraction form
    426.11/587.30 = 278.51/x
  3. Step 3: Cross multiply
    426.11x = 587.30 × 278.51
  4. Step 4: Simplify right side
    426.11x = 163,564.59
  5. Step 5: Solve for x
    x = 163,564.59/426.11
  6. Step 6: Final answer
    x = 383.86

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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.