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Finding the Fourth Proportional to 256.21, 383.34 and 155.66

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Solution

The fourth proportional to 256.21, 383.34 and 155.66 is: 232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.21 : 383.34 = 155.66 : x
  2. Step 2: Convert to fraction form
    256.21/383.34 = 155.66/x
  3. Step 3: Cross multiply
    256.21x = 383.34 × 155.66
  4. Step 4: Simplify right side
    256.21x = 59,670.81
  5. Step 5: Solve for x
    x = 59,670.81/256.21
  6. Step 6: Final answer
    x = 232.90

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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.