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Finding the Fourth Proportional to 219.21, 301.86 and 188.07

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Solution

The fourth proportional to 219.21, 301.86 and 188.07 is: 258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.21 : 301.86 = 188.07 : x
  2. Step 2: Convert to fraction form
    219.21/301.86 = 188.07/x
  3. Step 3: Cross multiply
    219.21x = 301.86 × 188.07
  4. Step 4: Simplify right side
    219.21x = 56,770.81
  5. Step 5: Solve for x
    x = 56,770.81/219.21
  6. Step 6: Final answer
    x = 258.98

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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.