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Finding the Fourth Proportional to 307.34, 423.52 and 202.31

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Solution

The fourth proportional to 307.34, 423.52 and 202.31 is: 278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.34 : 423.52 = 202.31 : x
  2. Step 2: Convert to fraction form
    307.34/423.52 = 202.31/x
  3. Step 3: Cross multiply
    307.34x = 423.52 × 202.31
  4. Step 4: Simplify right side
    307.34x = 85,679.71
  5. Step 5: Solve for x
    x = 85,679.71/307.34
  6. Step 6: Final answer
    x = 278.78

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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.