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Finding the Fourth Proportional to 420.87, 581.07 and 263.69

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Solution

The fourth proportional to 420.87, 581.07 and 263.69 is: 364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.87 : 581.07 = 263.69 : x
  2. Step 2: Convert to fraction form
    420.87/581.07 = 263.69/x
  3. Step 3: Cross multiply
    420.87x = 581.07 × 263.69
  4. Step 4: Simplify right side
    420.87x = 153,219.44
  5. Step 5: Solve for x
    x = 153,219.44/420.87
  6. Step 6: Final answer
    x = 364.05

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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.