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Finding the Fourth Proportional to 535.28, 802.85 and 261.23

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Solution

The fourth proportional to 535.28, 802.85 and 261.23 is: 391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.28 : 802.85 = 261.23 : x
  2. Step 2: Convert to fraction form
    535.28/802.85 = 261.23/x
  3. Step 3: Cross multiply
    535.28x = 802.85 × 261.23
  4. Step 4: Simplify right side
    535.28x = 209,723.19
  5. Step 5: Solve for x
    x = 209,723.19/535.28
  6. Step 6: Final answer
    x = 391.80

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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.