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Finding the Fourth Proportional to 421.09, 581.16 and 263.78

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Solution

The fourth proportional to 421.09, 581.16 and 263.78 is: 364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.09 : 581.16 = 263.78 : x
  2. Step 2: Convert to fraction form
    421.09/581.16 = 263.78/x
  3. Step 3: Cross multiply
    421.09x = 581.16 × 263.78
  4. Step 4: Simplify right side
    421.09x = 153,298.38
  5. Step 5: Solve for x
    x = 153,298.38/421.09
  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.