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Finding the Fourth Proportional to 420.98, 581.00 and 355.37

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Solution

The fourth proportional to 420.98, 581.00 and 355.37 is: 490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.98 : 581.00 = 355.37 : x
  2. Step 2: Convert to fraction form
    420.98/581.00 = 355.37/x
  3. Step 3: Cross multiply
    420.98x = 581.00 × 355.37
  4. Step 4: Simplify right side
    420.98x = 206,465.29
  5. Step 5: Solve for x
    x = 206,465.29/420.98
  6. Step 6: Final answer
    x = 490.45

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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.