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Finding the Fourth Proportional to 258.83, 386.15 and 257.01

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Solution

The fourth proportional to 258.83, 386.15 and 257.01 is: 383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.83 : 386.15 = 257.01 : x
  2. Step 2: Convert to fraction form
    258.83/386.15 = 257.01/x
  3. Step 3: Cross multiply
    258.83x = 386.15 × 257.01
  4. Step 4: Simplify right side
    258.83x = 99,244.41
  5. Step 5: Solve for x
    x = 99,244.41/258.83
  6. Step 6: Final answer
    x = 383.43

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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.