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Finding the Fourth Proportional to 418.56, 628.04 and 256.15

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Solution

The fourth proportional to 418.56, 628.04 and 256.15 is: 384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.56 : 628.04 = 256.15 : x
  2. Step 2: Convert to fraction form
    418.56/628.04 = 256.15/x
  3. Step 3: Cross multiply
    418.56x = 628.04 × 256.15
  4. Step 4: Simplify right side
    418.56x = 160,872.45
  5. Step 5: Solve for x
    x = 160,872.45/418.56
  6. Step 6: Final answer
    x = 384.35

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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.