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Finding the Fourth Proportional to 466.35, 643.51 and 269.82

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Solution

The fourth proportional to 466.35, 643.51 and 269.82 is: 372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.35 : 643.51 = 269.82 : x
  2. Step 2: Convert to fraction form
    466.35/643.51 = 269.82/x
  3. Step 3: Cross multiply
    466.35x = 643.51 × 269.82
  4. Step 4: Simplify right side
    466.35x = 173,631.87
  5. Step 5: Solve for x
    x = 173,631.87/466.35
  6. Step 6: Final answer
    x = 372.32

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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.