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Finding the Fourth Proportional to 820.03, 1,230.05 and 235.03

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Solution

The fourth proportional to 820.03, 1,230.05 and 235.03 is: 352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.03 : 1,230.05 = 235.03 : x
  2. Step 2: Convert to fraction form
    820.03/1,230.05 = 235.03/x
  3. Step 3: Cross multiply
    820.03x = 1,230.05 × 235.03
  4. Step 4: Simplify right side
    820.03x = 289,094.40
  5. Step 5: Solve for x
    x = 289,094.40/820.03
  6. Step 6: Final answer
    x = 352.54

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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.