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Finding the Fourth Proportional to 466.47, 643.74 and 269.98

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Solution

The fourth proportional to 466.47, 643.74 and 269.98 is: 372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.47 : 643.74 = 269.98 : x
  2. Step 2: Convert to fraction form
    466.47/643.74 = 269.98/x
  3. Step 3: Cross multiply
    466.47x = 643.74 × 269.98
  4. Step 4: Simplify right side
    466.47x = 173,796.93
  5. Step 5: Solve for x
    x = 173,796.93/466.47
  6. Step 6: Final answer
    x = 372.58

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