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Finding the Fourth Proportional to 421.78, 580.98 and 297.23

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Solution

The fourth proportional to 421.78, 580.98 and 297.23 is: 409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.78 : 580.98 = 297.23 : x
  2. Step 2: Convert to fraction form
    421.78/580.98 = 297.23/x
  3. Step 3: Cross multiply
    421.78x = 580.98 × 297.23
  4. Step 4: Simplify right side
    421.78x = 172,684.69
  5. Step 5: Solve for x
    x = 172,684.69/421.78
  6. Step 6: Final answer
    x = 409.42

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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.