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Finding the Fourth Proportional to 263.80, 364 and 158.87

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Solution

The fourth proportional to 263.80, 364 and 158.87 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.80 : 364 = 158.87 : x
  2. Step 2: Convert to fraction form
    263.80/364 = 158.87/x
  3. Step 3: Cross multiply
    263.80x = 364 × 158.87
  4. Step 4: Simplify right side
    263.80x = 57,826.86
  5. Step 5: Solve for x
    x = 57,826.86/263.80
  6. Step 6: Final answer
    x = 219.21

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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.