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Finding the Fourth Proportional to 465.98, 643.16 and 269.60

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Solution

The fourth proportional to 465.98, 643.16 and 269.60 is: 372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.98 : 643.16 = 269.60 : x
  2. Step 2: Convert to fraction form
    465.98/643.16 = 269.60/x
  3. Step 3: Cross multiply
    465.98x = 643.16 × 269.60
  4. Step 4: Simplify right side
    465.98x = 173,391.37
  5. Step 5: Solve for x
    x = 173,391.37/465.98
  6. Step 6: Final answer
    x = 372.10

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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.