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Finding the Fourth Proportional to 369.23, 509.52 and 203.42

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Solution

The fourth proportional to 369.23, 509.52 and 203.42 is: 280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.23 : 509.52 = 203.42 : x
  2. Step 2: Convert to fraction form
    369.23/509.52 = 203.42/x
  3. Step 3: Cross multiply
    369.23x = 509.52 × 203.42
  4. Step 4: Simplify right side
    369.23x = 103,647.83
  5. Step 5: Solve for x
    x = 103,647.83/369.23
  6. Step 6: Final answer
    x = 280.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.