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Finding the Fourth Proportional to 292.08, 403.15 and 187.16

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Solution

The fourth proportional to 292.08, 403.15 and 187.16 is: 258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.08 : 403.15 = 187.16 : x
  2. Step 2: Convert to fraction form
    292.08/403.15 = 187.16/x
  3. Step 3: Cross multiply
    292.08x = 403.15 × 187.16
  4. Step 4: Simplify right side
    292.08x = 75,453.55
  5. Step 5: Solve for x
    x = 75,453.55/292.08
  6. Step 6: Final answer
    x = 258.33

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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.