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Finding the Fourth Proportional to 292.29, 402.62 and 290.67

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Solution

The fourth proportional to 292.29, 402.62 and 290.67 is: 400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.29 : 402.62 = 290.67 : x
  2. Step 2: Convert to fraction form
    292.29/402.62 = 290.67/x
  3. Step 3: Cross multiply
    292.29x = 402.62 × 290.67
  4. Step 4: Simplify right side
    292.29x = 117,028.10
  5. Step 5: Solve for x
    x = 117,028.10/292.29
  6. Step 6: Final answer
    x = 400.38

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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.