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Finding the Fourth Proportional to 534.50, 802.06 and 226.34

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Solution

The fourth proportional to 534.50, 802.06 and 226.34 is: 339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.50 : 802.06 = 226.34 : x
  2. Step 2: Convert to fraction form
    534.50/802.06 = 226.34/x
  3. Step 3: Cross multiply
    534.50x = 802.06 × 226.34
  4. Step 4: Simplify right side
    534.50x = 181,538.26
  5. Step 5: Solve for x
    x = 181,538.26/534.50
  6. Step 6: Final answer
    x = 339.64

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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.