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Finding the Fourth Proportional to 290.68, 400.62 and 253.42

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Solution

The fourth proportional to 290.68, 400.62 and 253.42 is: 349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.68 : 400.62 = 253.42 : x
  2. Step 2: Convert to fraction form
    290.68/400.62 = 253.42/x
  3. Step 3: Cross multiply
    290.68x = 400.62 × 253.42
  4. Step 4: Simplify right side
    290.68x = 101,525.12
  5. Step 5: Solve for x
    x = 101,525.12/290.68
  6. Step 6: Final answer
    x = 349.27

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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.