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Finding the Fourth Proportional to 535.36, 803.58 and 361.48

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Solution

The fourth proportional to 535.36, 803.58 and 361.48 is: 542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.36 : 803.58 = 361.48 : x
  2. Step 2: Convert to fraction form
    535.36/803.58 = 361.48/x
  3. Step 3: Cross multiply
    535.36x = 803.58 × 361.48
  4. Step 4: Simplify right side
    535.36x = 290,478.10
  5. Step 5: Solve for x
    x = 290,478.10/535.36
  6. Step 6: Final answer
    x = 542.58

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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.