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Finding the Fourth Proportional to 290.42, 400.90 and 192.31

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Solution

The fourth proportional to 290.42, 400.90 and 192.31 is: 265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.42 : 400.90 = 192.31 : x
  2. Step 2: Convert to fraction form
    290.42/400.90 = 192.31/x
  3. Step 3: Cross multiply
    290.42x = 400.90 × 192.31
  4. Step 4: Simplify right side
    290.42x = 77,095.96
  5. Step 5: Solve for x
    x = 77,095.96/290.42
  6. Step 6: Final answer
    x = 265.46

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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.