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Finding the Fourth Proportional to 258.01, 386.89 and 75.35

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Solution

The fourth proportional to 258.01, 386.89 and 75.35 is: 112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.01 : 386.89 = 75.35 : x
  2. Step 2: Convert to fraction form
    258.01/386.89 = 75.35/x
  3. Step 3: Cross multiply
    258.01x = 386.89 × 75.35
  4. Step 4: Simplify right side
    258.01x = 29,152.94
  5. Step 5: Solve for x
    x = 29,152.94/258.01
  6. Step 6: Final answer
    x = 112.99

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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.