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Finding the Fourth Proportional to 535.20, 802.85 and 165.09

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Solution

The fourth proportional to 535.20, 802.85 and 165.09 is: 247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.20 : 802.85 = 165.09 : x
  2. Step 2: Convert to fraction form
    535.20/802.85 = 165.09/x
  3. Step 3: Cross multiply
    535.20x = 802.85 × 165.09
  4. Step 4: Simplify right side
    535.20x = 132,542.51
  5. Step 5: Solve for x
    x = 132,542.51/535.20
  6. Step 6: Final answer
    x = 247.65

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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.