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Finding the Fourth Proportional to 289.12, 431.36 and 275.36

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Solution

The fourth proportional to 289.12, 431.36 and 275.36 is: 410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.12 : 431.36 = 275.36 : x
  2. Step 2: Convert to fraction form
    289.12/431.36 = 275.36/x
  3. Step 3: Cross multiply
    289.12x = 431.36 × 275.36
  4. Step 4: Simplify right side
    289.12x = 118,779.29
  5. Step 5: Solve for x
    x = 118,779.29/289.12
  6. Step 6: Final answer
    x = 410.83

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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.