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Finding the Fourth Proportional to 367.85, 507.65 and 202.07

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Solution

The fourth proportional to 367.85, 507.65 and 202.07 is: 278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.85 : 507.65 = 202.07 : x
  2. Step 2: Convert to fraction form
    367.85/507.65 = 202.07/x
  3. Step 3: Cross multiply
    367.85x = 507.65 × 202.07
  4. Step 4: Simplify right side
    367.85x = 102,579.83
  5. Step 5: Solve for x
    x = 102,579.83/367.85
  6. Step 6: Final answer
    x = 278.86

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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.