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Finding the Fourth Proportional to 804.17, 1,206.29 and 256.34

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Solution

The fourth proportional to 804.17, 1,206.29 and 256.34 is: 384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.17 : 1,206.29 = 256.34 : x
  2. Step 2: Convert to fraction form
    804.17/1,206.29 = 256.34/x
  3. Step 3: Cross multiply
    804.17x = 1,206.29 × 256.34
  4. Step 4: Simplify right side
    804.17x = 309,214.35
  5. Step 5: Solve for x
    x = 309,214.35/804.17
  6. Step 6: Final answer
    x = 384.52

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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.