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Finding the Fourth Proportional to 438.46, 605.10 and 263.86

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Solution

The fourth proportional to 438.46, 605.10 and 263.86 is: 364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.46 : 605.10 = 263.86 : x
  2. Step 2: Convert to fraction form
    438.46/605.10 = 263.86/x
  3. Step 3: Cross multiply
    438.46x = 605.10 × 263.86
  4. Step 4: Simplify right side
    438.46x = 159,661.69
  5. Step 5: Solve for x
    x = 159,661.69/438.46
  6. Step 6: Final answer
    x = 364.14

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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.