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Finding the Fourth Proportional to 465.88, 642.90 and 258.88

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Solution

The fourth proportional to 465.88, 642.90 and 258.88 is: 357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.88 : 642.90 = 258.88 : x
  2. Step 2: Convert to fraction form
    465.88/642.90 = 258.88/x
  3. Step 3: Cross multiply
    465.88x = 642.90 × 258.88
  4. Step 4: Simplify right side
    465.88x = 166,433.95
  5. Step 5: Solve for x
    x = 166,433.95/465.88
  6. Step 6: Final answer
    x = 357.25

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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.