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Finding the Fourth Proportional to 256.14, 383.93 and 102.00

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Solution

The fourth proportional to 256.14, 383.93 and 102.00 is: 152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.14 : 383.93 = 102.00 : x
  2. Step 2: Convert to fraction form
    256.14/383.93 = 102.00/x
  3. Step 3: Cross multiply
    256.14x = 383.93 × 102.00
  4. Step 4: Simplify right side
    256.14x = 39,158.94
  5. Step 5: Solve for x
    x = 39,158.94/256.14
  6. Step 6: Final answer
    x = 152.88

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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.