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Finding the Fourth Proportional to 534.75, 802.13 and 169.58

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Solution

The fourth proportional to 534.75, 802.13 and 169.58 is: 254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.75 : 802.13 = 169.58 : x
  2. Step 2: Convert to fraction form
    534.75/802.13 = 169.58/x
  3. Step 3: Cross multiply
    534.75x = 802.13 × 169.58
  4. Step 4: Simplify right side
    534.75x = 136,021.62
  5. Step 5: Solve for x
    x = 136,021.62/534.75
  6. Step 6: Final answer
    x = 254.36

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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.