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Finding the Fourth Proportional to 307.08, 423.62 and 202.14

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Solution

The fourth proportional to 307.08, 423.62 and 202.14 is: 278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.08 : 423.62 = 202.14 : x
  2. Step 2: Convert to fraction form
    307.08/423.62 = 202.14/x
  3. Step 3: Cross multiply
    307.08x = 423.62 × 202.14
  4. Step 4: Simplify right side
    307.08x = 85,630.55
  5. Step 5: Solve for x
    x = 85,630.55/307.08
  6. Step 6: Final answer
    x = 278.85

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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.