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Finding the Fourth Proportional to 256.19, 383.96 and 228.85

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Solution

The fourth proportional to 256.19, 383.96 and 228.85 is: 342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.19 : 383.96 = 228.85 : x
  2. Step 2: Convert to fraction form
    256.19/383.96 = 228.85/x
  3. Step 3: Cross multiply
    256.19x = 383.96 × 228.85
  4. Step 4: Simplify right side
    256.19x = 87,868.86
  5. Step 5: Solve for x
    x = 87,868.86/256.19
  6. Step 6: Final answer
    x = 342.99

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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.