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Finding the Fourth Proportional to 256.02, 383.73 and 174.72

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Solution

The fourth proportional to 256.02, 383.73 and 174.72 is: 261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.02 : 383.73 = 174.72 : x
  2. Step 2: Convert to fraction form
    256.02/383.73 = 174.72/x
  3. Step 3: Cross multiply
    256.02x = 383.73 × 174.72
  4. Step 4: Simplify right side
    256.02x = 67,045.31
  5. Step 5: Solve for x
    x = 67,045.31/256.02
  6. Step 6: Final answer
    x = 261.88

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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.