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Finding the Fourth Proportional to 289.36, 431.47 and 275.19

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Solution

The fourth proportional to 289.36, 431.47 and 275.19 is: 410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.36 : 431.47 = 275.19 : x
  2. Step 2: Convert to fraction form
    289.36/431.47 = 275.19/x
  3. Step 3: Cross multiply
    289.36x = 431.47 × 275.19
  4. Step 4: Simplify right side
    289.36x = 118,736.23
  5. Step 5: Solve for x
    x = 118,736.23/289.36
  6. Step 6: Final answer
    x = 410.34

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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.