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Finding the Fourth Proportional to 535.40, 802.26 and 361.38

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Solution

The fourth proportional to 535.40, 802.26 and 361.38 is: 541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.40 : 802.26 = 361.38 : x
  2. Step 2: Convert to fraction form
    535.40/802.26 = 361.38/x
  3. Step 3: Cross multiply
    535.40x = 802.26 × 361.38
  4. Step 4: Simplify right side
    535.40x = 289,920.72
  5. Step 5: Solve for x
    x = 289,920.72/535.40
  6. Step 6: Final answer
    x = 541.51

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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.