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Finding the Fourth Proportional to 420.50, 580.29 and 245.84

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Solution

The fourth proportional to 420.50, 580.29 and 245.84 is: 339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.50 : 580.29 = 245.84 : x
  2. Step 2: Convert to fraction form
    420.50/580.29 = 245.84/x
  3. Step 3: Cross multiply
    420.50x = 580.29 × 245.84
  4. Step 4: Simplify right side
    420.50x = 142,658.49
  5. Step 5: Solve for x
    x = 142,658.49/420.50
  6. Step 6: Final answer
    x = 339.26

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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.