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Finding the Fourth Proportional to 421.69, 582 and 247.03

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Solution

The fourth proportional to 421.69, 582 and 247.03 is: 340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.69 : 582 = 247.03 : x
  2. Step 2: Convert to fraction form
    421.69/582 = 247.03/x
  3. Step 3: Cross multiply
    421.69x = 582 × 247.03
  4. Step 4: Simplify right side
    421.69x = 143,771.46
  5. Step 5: Solve for x
    x = 143,771.46/421.69
  6. Step 6: Final answer
    x = 340.94

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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.