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Finding the Fourth Proportional to 256.41, 384.65 and 102.36

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Solution

The fourth proportional to 256.41, 384.65 and 102.36 is: 153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.41 : 384.65 = 102.36 : x
  2. Step 2: Convert to fraction form
    256.41/384.65 = 102.36/x
  3. Step 3: Cross multiply
    256.41x = 384.65 × 102.36
  4. Step 4: Simplify right side
    256.41x = 39,372.77
  5. Step 5: Solve for x
    x = 39,372.77/256.41
  6. Step 6: Final answer
    x = 153.55

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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.