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Finding the Fourth Proportional to 438.41, 657.57 and 275.69

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Solution

The fourth proportional to 438.41, 657.57 and 275.69 is: 413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.41 : 657.57 = 275.69 : x
  2. Step 2: Convert to fraction form
    438.41/657.57 = 275.69/x
  3. Step 3: Cross multiply
    438.41x = 657.57 × 275.69
  4. Step 4: Simplify right side
    438.41x = 181,285.47
  5. Step 5: Solve for x
    x = 181,285.47/438.41
  6. Step 6: Final answer
    x = 413.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.