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Finding the Fourth Proportional to 326.93, 488.16 and 257.67

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Solution

The fourth proportional to 326.93, 488.16 and 257.67 is: 384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.93 : 488.16 = 257.67 : x
  2. Step 2: Convert to fraction form
    326.93/488.16 = 257.67/x
  3. Step 3: Cross multiply
    326.93x = 488.16 × 257.67
  4. Step 4: Simplify right side
    326.93x = 125,784.19
  5. Step 5: Solve for x
    x = 125,784.19/326.93
  6. Step 6: Final answer
    x = 384.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.