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Finding the Fourth Proportional to 534.74, 802.21 and 210.09

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Solution

The fourth proportional to 534.74, 802.21 and 210.09 is: 315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.74 : 802.21 = 210.09 : x
  2. Step 2: Convert to fraction form
    534.74/802.21 = 210.09/x
  3. Step 3: Cross multiply
    534.74x = 802.21 × 210.09
  4. Step 4: Simplify right side
    534.74x = 168,536.30
  5. Step 5: Solve for x
    x = 168,536.30/534.74
  6. Step 6: Final answer
    x = 315.17

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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.