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Finding the Fourth Proportional to 444, 612.81 and 257.53

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Solution

The fourth proportional to 444, 612.81 and 257.53 is: 355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    444 : 612.81 = 257.53 : x
  2. Step 2: Convert to fraction form
    444/612.81 = 257.53/x
  3. Step 3: Cross multiply
    444x = 612.81 × 257.53
  4. Step 4: Simplify right side
    444x = 157,816.32
  5. Step 5: Solve for x
    x = 157,816.32/444
  6. Step 6: Final answer
    x = 355.44

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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.