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Finding the Fourth Proportional to 289.83, 399.50 and 202.35

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Solution

The fourth proportional to 289.83, 399.50 and 202.35 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.83 : 399.50 = 202.35 : x
  2. Step 2: Convert to fraction form
    289.83/399.50 = 202.35/x
  3. Step 3: Cross multiply
    289.83x = 399.50 × 202.35
  4. Step 4: Simplify right side
    289.83x = 80,837.81
  5. Step 5: Solve for x
    x = 80,837.81/289.83
  6. Step 6: Final answer
    x = 278.91

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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.