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Finding the Fourth Proportional to 290.19, 400.45 and 165.87

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Solution

The fourth proportional to 290.19, 400.45 and 165.87 is: 228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.19 : 400.45 = 165.87 : x
  2. Step 2: Convert to fraction form
    290.19/400.45 = 165.87/x
  3. Step 3: Cross multiply
    290.19x = 400.45 × 165.87
  4. Step 4: Simplify right side
    290.19x = 66,419.81
  5. Step 5: Solve for x
    x = 66,419.81/290.19
  6. Step 6: Final answer
    x = 228.88

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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.