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Finding the Fourth Proportional to 289.04, 431.64 and 272

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Solution

The fourth proportional to 289.04, 431.64 and 272 is: 406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.04 : 431.64 = 272 : x
  2. Step 2: Convert to fraction form
    289.04/431.64 = 272/x
  3. Step 3: Cross multiply
    289.04x = 431.64 × 272
  4. Step 4: Simplify right side
    289.04x = 117,406.08
  5. Step 5: Solve for x
    x = 117,406.08/289.04
  6. Step 6: Final answer
    x = 406.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.