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Finding the Fourth Proportional to 462.51, 694.17 and 257.28

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Solution

The fourth proportional to 462.51, 694.17 and 257.28 is: 386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.51 : 694.17 = 257.28 : x
  2. Step 2: Convert to fraction form
    462.51/694.17 = 257.28/x
  3. Step 3: Cross multiply
    462.51x = 694.17 × 257.28
  4. Step 4: Simplify right side
    462.51x = 178,596.06
  5. Step 5: Solve for x
    x = 178,596.06/462.51
  6. Step 6: Final answer
    x = 386.15

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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.