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Finding the Fourth Proportional to 256.56, 383.48 and 202.52

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Solution

The fourth proportional to 256.56, 383.48 and 202.52 is: 302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.56 : 383.48 = 202.52 : x
  2. Step 2: Convert to fraction form
    256.56/383.48 = 202.52/x
  3. Step 3: Cross multiply
    256.56x = 383.48 × 202.52
  4. Step 4: Simplify right side
    256.56x = 77,662.37
  5. Step 5: Solve for x
    x = 77,662.37/256.56
  6. Step 6: Final answer
    x = 302.71

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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.