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Finding the Fourth Proportional to 307.18, 423.60 and 202.36

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Solution

The fourth proportional to 307.18, 423.60 and 202.36 is: 279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.18 : 423.60 = 202.36 : x
  2. Step 2: Convert to fraction form
    307.18/423.60 = 202.36/x
  3. Step 3: Cross multiply
    307.18x = 423.60 × 202.36
  4. Step 4: Simplify right side
    307.18x = 85,717.58
  5. Step 5: Solve for x
    x = 85,717.58/307.18
  6. Step 6: Final answer
    x = 279.05

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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.