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Finding the Fourth Proportional to 742.91, 1,114.36 and 256.00

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Solution

The fourth proportional to 742.91, 1,114.36 and 256.00 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.91 : 1,114.36 = 256.00 : x
  2. Step 2: Convert to fraction form
    742.91/1,114.36 = 256.00/x
  3. Step 3: Cross multiply
    742.91x = 1,114.36 × 256.00
  4. Step 4: Simplify right side
    742.91x = 285,270.59
  5. Step 5: Solve for x
    x = 285,270.59/742.91
  6. Step 6: Final answer
    x = 383.99

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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.