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Finding the Fourth Proportional to 256.15, 383.73 and 198.34

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Solution

The fourth proportional to 256.15, 383.73 and 198.34 is: 297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.15 : 383.73 = 198.34 : x
  2. Step 2: Convert to fraction form
    256.15/383.73 = 198.34/x
  3. Step 3: Cross multiply
    256.15x = 383.73 × 198.34
  4. Step 4: Simplify right side
    256.15x = 76,109.01
  5. Step 5: Solve for x
    x = 76,109.01/256.15
  6. Step 6: Final answer
    x = 297.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.