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Finding the Fourth Proportional to 292.64, 403.81 and 189.14

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Solution

The fourth proportional to 292.64, 403.81 and 189.14 is: 260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.64 : 403.81 = 189.14 : x
  2. Step 2: Convert to fraction form
    292.64/403.81 = 189.14/x
  3. Step 3: Cross multiply
    292.64x = 403.81 × 189.14
  4. Step 4: Simplify right side
    292.64x = 76,374.13
  5. Step 5: Solve for x
    x = 76,374.13/292.64
  6. Step 6: Final answer
    x = 260.99

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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.