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Finding the Fourth Proportional to 256.23, 383.90 and 212.67

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Solution

The fourth proportional to 256.23, 383.90 and 212.67 is: 318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.23 : 383.90 = 212.67 : x
  2. Step 2: Convert to fraction form
    256.23/383.90 = 212.67/x
  3. Step 3: Cross multiply
    256.23x = 383.90 × 212.67
  4. Step 4: Simplify right side
    256.23x = 81,642.95
  5. Step 5: Solve for x
    x = 81,642.95/256.23
  6. Step 6: Final answer
    x = 318.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.