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Finding the Fourth Proportional to 289.14, 435.27 and 264.03

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Solution

The fourth proportional to 289.14, 435.27 and 264.03 is: 397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.14 : 435.27 = 264.03 : x
  2. Step 2: Convert to fraction form
    289.14/435.27 = 264.03/x
  3. Step 3: Cross multiply
    289.14x = 435.27 × 264.03
  4. Step 4: Simplify right side
    289.14x = 114,924.34
  5. Step 5: Solve for x
    x = 114,924.34/289.14
  6. Step 6: Final answer
    x = 397.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.