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Finding the Fourth Proportional to 292.71, 403.74 and 187.76

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Solution

The fourth proportional to 292.71, 403.74 and 187.76 is: 258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.71 : 403.74 = 187.76 : x
  2. Step 2: Convert to fraction form
    292.71/403.74 = 187.76/x
  3. Step 3: Cross multiply
    292.71x = 403.74 × 187.76
  4. Step 4: Simplify right side
    292.71x = 75,804.20
  5. Step 5: Solve for x
    x = 75,804.20/292.71
  6. Step 6: Final answer
    x = 258.97

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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.