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Finding the Fourth Proportional to 378.02, 521.60 and 253.86

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Solution

The fourth proportional to 378.02, 521.60 and 253.86 is: 350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.02 : 521.60 = 253.86 : x
  2. Step 2: Convert to fraction form
    378.02/521.60 = 253.86/x
  3. Step 3: Cross multiply
    378.02x = 521.60 × 253.86
  4. Step 4: Simplify right side
    378.02x = 132,413.38
  5. Step 5: Solve for x
    x = 132,413.38/378.02
  6. Step 6: Final answer
    x = 350.28

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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.