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Finding the Fourth Proportional to 534.65, 802.06 and 274.51

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Solution

The fourth proportional to 534.65, 802.06 and 274.51 is: 411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.65 : 802.06 = 274.51 : x
  2. Step 2: Convert to fraction form
    534.65/802.06 = 274.51/x
  3. Step 3: Cross multiply
    534.65x = 802.06 × 274.51
  4. Step 4: Simplify right side
    534.65x = 220,173.49
  5. Step 5: Solve for x
    x = 220,173.49/534.65
  6. Step 6: Final answer
    x = 411.81

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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.