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Finding the Fourth Proportional to 256.21, 384.36 and 102.16

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Solution

The fourth proportional to 256.21, 384.36 and 102.16 is: 153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.21 : 384.36 = 102.16 : x
  2. Step 2: Convert to fraction form
    256.21/384.36 = 102.16/x
  3. Step 3: Cross multiply
    256.21x = 384.36 × 102.16
  4. Step 4: Simplify right side
    256.21x = 39,266.22
  5. Step 5: Solve for x
    x = 39,266.22/256.21
  6. Step 6: Final answer
    x = 153.26

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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.