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Finding the Fourth Proportional to 444.86, 613.92 and 258.32

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Solution

The fourth proportional to 444.86, 613.92 and 258.32 is: 356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.86 : 613.92 = 258.32 : x
  2. Step 2: Convert to fraction form
    444.86/613.92 = 258.32/x
  3. Step 3: Cross multiply
    444.86x = 613.92 × 258.32
  4. Step 4: Simplify right side
    444.86x = 158,587.81
  5. Step 5: Solve for x
    x = 158,587.81/444.86
  6. Step 6: Final answer
    x = 356.49

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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.