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Finding the Fourth Proportional to 307.89, 423.65 and 284.64

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Solution

The fourth proportional to 307.89, 423.65 and 284.64 is: 391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.89 : 423.65 = 284.64 : x
  2. Step 2: Convert to fraction form
    307.89/423.65 = 284.64/x
  3. Step 3: Cross multiply
    307.89x = 423.65 × 284.64
  4. Step 4: Simplify right side
    307.89x = 120,586.31
  5. Step 5: Solve for x
    x = 120,586.31/307.89
  6. Step 6: Final answer
    x = 391.65

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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.