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Finding the Fourth Proportional to 292.79, 403.71 and 218.98

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Solution

The fourth proportional to 292.79, 403.71 and 218.98 is: 301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.79 : 403.71 = 218.98 : x
  2. Step 2: Convert to fraction form
    292.79/403.71 = 218.98/x
  3. Step 3: Cross multiply
    292.79x = 403.71 × 218.98
  4. Step 4: Simplify right side
    292.79x = 88,403.41
  5. Step 5: Solve for x
    x = 88,403.41/292.79
  6. Step 6: Final answer
    x = 301.94

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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.