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Finding the Fourth Proportional to 289.74, 399.72 and 202.47

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Solution

The fourth proportional to 289.74, 399.72 and 202.47 is: 279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.74 : 399.72 = 202.47 : x
  2. Step 2: Convert to fraction form
    289.74/399.72 = 202.47/x
  3. Step 3: Cross multiply
    289.74x = 399.72 × 202.47
  4. Step 4: Simplify right side
    289.74x = 80,931.31
  5. Step 5: Solve for x
    x = 80,931.31/289.74
  6. Step 6: Final answer
    x = 279.32

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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.