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Finding the Fourth Proportional to 289.71, 435.02 and 257.31

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Solution

The fourth proportional to 289.71, 435.02 and 257.31 is: 386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.71 : 435.02 = 257.31 : x
  2. Step 2: Convert to fraction form
    289.71/435.02 = 257.31/x
  3. Step 3: Cross multiply
    289.71x = 435.02 × 257.31
  4. Step 4: Simplify right side
    289.71x = 111,933.71
  5. Step 5: Solve for x
    x = 111,933.71/289.71
  6. Step 6: Final answer
    x = 386.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.