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Finding the Fourth Proportional to 465.85, 642.86 and 258.85

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Solution

The fourth proportional to 465.85, 642.86 and 258.85 is: 357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.85 : 642.86 = 258.85 : x
  2. Step 2: Convert to fraction form
    465.85/642.86 = 258.85/x
  3. Step 3: Cross multiply
    465.85x = 642.86 × 258.85
  4. Step 4: Simplify right side
    465.85x = 166,404.31
  5. Step 5: Solve for x
    x = 166,404.31/465.85
  6. Step 6: Final answer
    x = 357.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.