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Finding the Fourth Proportional to 905.89, 1,358.79 and 256.54

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Solution

The fourth proportional to 905.89, 1,358.79 and 256.54 is: 384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.89 : 1,358.79 = 256.54 : x
  2. Step 2: Convert to fraction form
    905.89/1,358.79 = 256.54/x
  3. Step 3: Cross multiply
    905.89x = 1,358.79 × 256.54
  4. Step 4: Simplify right side
    905.89x = 348,583.99
  5. Step 5: Solve for x
    x = 348,583.99/905.89
  6. Step 6: Final answer
    x = 384.80

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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.