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Finding the Fourth Proportional to 307.89, 458.94 and 290.27

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Solution

The fourth proportional to 307.89, 458.94 and 290.27 is: 432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.89 : 458.94 = 290.27 : x
  2. Step 2: Convert to fraction form
    307.89/458.94 = 290.27/x
  3. Step 3: Cross multiply
    307.89x = 458.94 × 290.27
  4. Step 4: Simplify right side
    307.89x = 133,214.22
  5. Step 5: Solve for x
    x = 133,214.22/307.89
  6. Step 6: Final answer
    x = 432.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.