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Finding the Fourth Proportional to 292.64, 403.71 and 187.70

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Solution

The fourth proportional to 292.64, 403.71 and 187.70 is: 258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.64 : 403.71 = 187.70 : x
  2. Step 2: Convert to fraction form
    292.64/403.71 = 187.70/x
  3. Step 3: Cross multiply
    292.64x = 403.71 × 187.70
  4. Step 4: Simplify right side
    292.64x = 75,776.37
  5. Step 5: Solve for x
    x = 75,776.37/292.64
  6. Step 6: Final answer
    x = 258.94

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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.