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Finding the Fourth Proportional to 245.43, 338.11 and 210.34

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Solution

The fourth proportional to 245.43, 338.11 and 210.34 is: 289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.43 : 338.11 = 210.34 : x
  2. Step 2: Convert to fraction form
    245.43/338.11 = 210.34/x
  3. Step 3: Cross multiply
    245.43x = 338.11 × 210.34
  4. Step 4: Simplify right side
    245.43x = 71,117.53
  5. Step 5: Solve for x
    x = 71,117.53/245.43
  6. Step 6: Final answer
    x = 289.77

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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.