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Finding the Fourth Proportional to 292.04, 403.05 and 218.23

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Solution

The fourth proportional to 292.04, 403.05 and 218.23 is: 301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.04 : 403.05 = 218.23 : x
  2. Step 2: Convert to fraction form
    292.04/403.05 = 218.23/x
  3. Step 3: Cross multiply
    292.04x = 403.05 × 218.23
  4. Step 4: Simplify right side
    292.04x = 87,956.51
  5. Step 5: Solve for x
    x = 87,956.51/292.04
  6. Step 6: Final answer
    x = 301.18

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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.