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Finding the Fourth Proportional to 290.42, 401.08 and 245.76

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Solution

The fourth proportional to 290.42, 401.08 and 245.76 is: 339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.42 : 401.08 = 245.76 : x
  2. Step 2: Convert to fraction form
    290.42/401.08 = 245.76/x
  3. Step 3: Cross multiply
    290.42x = 401.08 × 245.76
  4. Step 4: Simplify right side
    290.42x = 98,569.42
  5. Step 5: Solve for x
    x = 98,569.42/290.42
  6. Step 6: Final answer
    x = 339.40

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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.