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Finding the Fourth Proportional to 256.74, 383.64 and 193.78

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Solution

The fourth proportional to 256.74, 383.64 and 193.78 is: 289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.74 : 383.64 = 193.78 : x
  2. Step 2: Convert to fraction form
    256.74/383.64 = 193.78/x
  3. Step 3: Cross multiply
    256.74x = 383.64 × 193.78
  4. Step 4: Simplify right side
    256.74x = 74,341.76
  5. Step 5: Solve for x
    x = 74,341.76/256.74
  6. Step 6: Final answer
    x = 289.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.