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Finding the Fourth Proportional to 531.88, 733.98 and 299

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Solution

The fourth proportional to 531.88, 733.98 and 299 is: 412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.88 : 733.98 = 299 : x
  2. Step 2: Convert to fraction form
    531.88/733.98 = 299/x
  3. Step 3: Cross multiply
    531.88x = 733.98 × 299
  4. Step 4: Simplify right side
    531.88x = 219,460.02
  5. Step 5: Solve for x
    x = 219,460.02/531.88
  6. Step 6: Final answer
    x = 412.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.