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Finding the Fourth Proportional to 905.85, 1,358.82 and 256.63

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Solution

The fourth proportional to 905.85, 1,358.82 and 256.63 is: 384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.85 : 1,358.82 = 256.63 : x
  2. Step 2: Convert to fraction form
    905.85/1,358.82 = 256.63/x
  3. Step 3: Cross multiply
    905.85x = 1,358.82 × 256.63
  4. Step 4: Simplify right side
    905.85x = 348,712.69
  5. Step 5: Solve for x
    x = 348,712.69/905.85
  6. Step 6: Final answer
    x = 384.96

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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.