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Finding the Fourth Proportional to 421.54, 581.46 and 264.10

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Solution

The fourth proportional to 421.54, 581.46 and 264.10 is: 364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.54 : 581.46 = 264.10 : x
  2. Step 2: Convert to fraction form
    421.54/581.46 = 264.10/x
  3. Step 3: Cross multiply
    421.54x = 581.46 × 264.10
  4. Step 4: Simplify right side
    421.54x = 153,563.59
  5. Step 5: Solve for x
    x = 153,563.59/421.54
  6. Step 6: Final answer
    x = 364.29

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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.