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Finding the Fourth Proportional to 292.19, 403.08 and 187.23

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Solution

The fourth proportional to 292.19, 403.08 and 187.23 is: 258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.19 : 403.08 = 187.23 : x
  2. Step 2: Convert to fraction form
    292.19/403.08 = 187.23/x
  3. Step 3: Cross multiply
    292.19x = 403.08 × 187.23
  4. Step 4: Simplify right side
    292.19x = 75,468.67
  5. Step 5: Solve for x
    x = 75,468.67/292.19
  6. Step 6: Final answer
    x = 258.29

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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.