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Finding the Fourth Proportional to 420.90, 580.93 and 243.98

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Solution

The fourth proportional to 420.90, 580.93 and 243.98 is: 336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.90 : 580.93 = 243.98 : x
  2. Step 2: Convert to fraction form
    420.90/580.93 = 243.98/x
  3. Step 3: Cross multiply
    420.90x = 580.93 × 243.98
  4. Step 4: Simplify right side
    420.90x = 141,735.30
  5. Step 5: Solve for x
    x = 141,735.30/420.90
  6. Step 6: Final answer
    x = 336.74

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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.