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Finding the Fourth Proportional to 534.81, 802.09 and 192.81

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Solution

The fourth proportional to 534.81, 802.09 and 192.81 is: 289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.81 : 802.09 = 192.81 : x
  2. Step 2: Convert to fraction form
    534.81/802.09 = 192.81/x
  3. Step 3: Cross multiply
    534.81x = 802.09 × 192.81
  4. Step 4: Simplify right side
    534.81x = 154,650.97
  5. Step 5: Solve for x
    x = 154,650.97/534.81
  6. Step 6: Final answer
    x = 289.17

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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.