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Finding the Fourth Proportional to 421.27, 581.36 and 263.90

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Solution

The fourth proportional to 421.27, 581.36 and 263.90 is: 364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.27 : 581.36 = 263.90 : x
  2. Step 2: Convert to fraction form
    421.27/581.36 = 263.90/x
  3. Step 3: Cross multiply
    421.27x = 581.36 × 263.90
  4. Step 4: Simplify right side
    421.27x = 153,420.90
  5. Step 5: Solve for x
    x = 153,420.90/421.27
  6. Step 6: Final answer
    x = 364.19

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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.