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Finding the Fourth Proportional to 307.10, 423.79 and 202.34

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Solution

The fourth proportional to 307.10, 423.79 and 202.34 is: 279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.10 : 423.79 = 202.34 : x
  2. Step 2: Convert to fraction form
    307.10/423.79 = 202.34/x
  3. Step 3: Cross multiply
    307.10x = 423.79 × 202.34
  4. Step 4: Simplify right side
    307.10x = 85,747.04
  5. Step 5: Solve for x
    x = 85,747.04/307.10
  6. Step 6: Final answer
    x = 279.22

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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.