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Finding the Fourth Proportional to 307.86, 463.97 and 289.62

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Solution

The fourth proportional to 307.86, 463.97 and 289.62 is: 436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.86 : 463.97 = 289.62 : x
  2. Step 2: Convert to fraction form
    307.86/463.97 = 289.62/x
  3. Step 3: Cross multiply
    307.86x = 463.97 × 289.62
  4. Step 4: Simplify right side
    307.86x = 134,373.54
  5. Step 5: Solve for x
    x = 134,373.54/307.86
  6. Step 6: Final answer
    x = 436.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.