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Finding the Fourth Proportional to 307.10, 425.74 and 290.66

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Solution

The fourth proportional to 307.10, 425.74 and 290.66 is: 402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.10 : 425.74 = 290.66 : x
  2. Step 2: Convert to fraction form
    307.10/425.74 = 290.66/x
  3. Step 3: Cross multiply
    307.10x = 425.74 × 290.66
  4. Step 4: Simplify right side
    307.10x = 123,744.14
  5. Step 5: Solve for x
    x = 123,744.14/307.10
  6. Step 6: Final answer
    x = 402.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.