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Finding the Fourth Proportional to 305.99, 422.05 and 259.67

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Solution

The fourth proportional to 305.99, 422.05 and 259.67 is: 358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.99 : 422.05 = 259.67 : x
  2. Step 2: Convert to fraction form
    305.99/422.05 = 259.67/x
  3. Step 3: Cross multiply
    305.99x = 422.05 × 259.67
  4. Step 4: Simplify right side
    305.99x = 109,593.72
  5. Step 5: Solve for x
    x = 109,593.72/305.99
  6. Step 6: Final answer
    x = 358.16

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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.