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Finding the Fourth Proportional to 803.54, 1,205.27 and 256.12

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Solution

The fourth proportional to 803.54, 1,205.27 and 256.12 is: 384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.54 : 1,205.27 = 256.12 : x
  2. Step 2: Convert to fraction form
    803.54/1,205.27 = 256.12/x
  3. Step 3: Cross multiply
    803.54x = 1,205.27 × 256.12
  4. Step 4: Simplify right side
    803.54x = 308,690.97
  5. Step 5: Solve for x
    x = 308,690.97/803.54
  6. Step 6: Final answer
    x = 384.16

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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.