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Finding the Fourth Proportional to 256.29, 384.69 and 134.81

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Solution

The fourth proportional to 256.29, 384.69 and 134.81 is: 202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.29 : 384.69 = 134.81 : x
  2. Step 2: Convert to fraction form
    256.29/384.69 = 134.81/x
  3. Step 3: Cross multiply
    256.29x = 384.69 × 134.81
  4. Step 4: Simplify right side
    256.29x = 51,859.29
  5. Step 5: Solve for x
    x = 51,859.29/256.29
  6. Step 6: Final answer
    x = 202.35

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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.