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Finding the Fourth Proportional to 531.07, 796.79 and 223.00

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Solution

The fourth proportional to 531.07, 796.79 and 223.00 is: 334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.07 : 796.79 = 223.00 : x
  2. Step 2: Convert to fraction form
    531.07/796.79 = 223.00/x
  3. Step 3: Cross multiply
    531.07x = 796.79 × 223.00
  4. Step 4: Simplify right side
    531.07x = 177,682.74
  5. Step 5: Solve for x
    x = 177,682.74/531.07
  6. Step 6: Final answer
    x = 334.58

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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.