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Finding the Fourth Proportional to 421.98, 582.30 and 235.50

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Solution

The fourth proportional to 421.98, 582.30 and 235.50 is: 324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.98 : 582.30 = 235.50 : x
  2. Step 2: Convert to fraction form
    421.98/582.30 = 235.50/x
  3. Step 3: Cross multiply
    421.98x = 582.30 × 235.50
  4. Step 4: Simplify right side
    421.98x = 137,131.65
  5. Step 5: Solve for x
    x = 137,131.65/421.98
  6. Step 6: Final answer
    x = 324.97

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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.