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Finding the Fourth Proportional to 400.16, 548.98 and 356.48

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Solution

The fourth proportional to 400.16, 548.98 and 356.48 is: 489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.16 : 548.98 = 356.48 : x
  2. Step 2: Convert to fraction form
    400.16/548.98 = 356.48/x
  3. Step 3: Cross multiply
    400.16x = 548.98 × 356.48
  4. Step 4: Simplify right side
    400.16x = 195,700.39
  5. Step 5: Solve for x
    x = 195,700.39/400.16
  6. Step 6: Final answer
    x = 489.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.