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Finding the Fourth Proportional to 326.18, 488.51 and 257.23

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Solution

The fourth proportional to 326.18, 488.51 and 257.23 is: 385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.18 : 488.51 = 257.23 : x
  2. Step 2: Convert to fraction form
    326.18/488.51 = 257.23/x
  3. Step 3: Cross multiply
    326.18x = 488.51 × 257.23
  4. Step 4: Simplify right side
    326.18x = 125,661.16
  5. Step 5: Solve for x
    x = 125,661.16/326.18
  6. Step 6: Final answer
    x = 385.25

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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.