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Finding the Fourth Proportional to 804.30, 1,206.09 and 256.35

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Solution

The fourth proportional to 804.30, 1,206.09 and 256.35 is: 384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.30 : 1,206.09 = 256.35 : x
  2. Step 2: Convert to fraction form
    804.30/1,206.09 = 256.35/x
  3. Step 3: Cross multiply
    804.30x = 1,206.09 × 256.35
  4. Step 4: Simplify right side
    804.30x = 309,181.17
  5. Step 5: Solve for x
    x = 309,181.17/804.30
  6. Step 6: Final answer
    x = 384.41

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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.