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Finding the Fourth Proportional to 420.70, 580.38 and 322.28

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Solution

The fourth proportional to 420.70, 580.38 and 322.28 is: 444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.70 : 580.38 = 322.28 : x
  2. Step 2: Convert to fraction form
    420.70/580.38 = 322.28/x
  3. Step 3: Cross multiply
    420.70x = 580.38 × 322.28
  4. Step 4: Simplify right side
    420.70x = 187,044.87
  5. Step 5: Solve for x
    x = 187,044.87/420.70
  6. Step 6: Final answer
    x = 444.60

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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.