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Finding the Fourth Proportional to 421.94, 582.33 and 247.34

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Solution

The fourth proportional to 421.94, 582.33 and 247.34 is: 341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.94 : 582.33 = 247.34 : x
  2. Step 2: Convert to fraction form
    421.94/582.33 = 247.34/x
  3. Step 3: Cross multiply
    421.94x = 582.33 × 247.34
  4. Step 4: Simplify right side
    421.94x = 144,033.50
  5. Step 5: Solve for x
    x = 144,033.50/421.94
  6. Step 6: Final answer
    x = 341.36

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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.