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Finding the Fourth Proportional to 421.94, 581.46 and 309.54

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Solution

The fourth proportional to 421.94, 581.46 and 309.54 is: 426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.94 : 581.46 = 309.54 : x
  2. Step 2: Convert to fraction form
    421.94/581.46 = 309.54/x
  3. Step 3: Cross multiply
    421.94x = 581.46 × 309.54
  4. Step 4: Simplify right side
    421.94x = 179,985.13
  5. Step 5: Solve for x
    x = 179,985.13/421.94
  6. Step 6: Final answer
    x = 426.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.