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Finding the Fourth Proportional to 285.68, 426.43 and 245.36

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Solution

The fourth proportional to 285.68, 426.43 and 245.36 is: 366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.68 : 426.43 = 245.36 : x
  2. Step 2: Convert to fraction form
    285.68/426.43 = 245.36/x
  3. Step 3: Cross multiply
    285.68x = 426.43 × 245.36
  4. Step 4: Simplify right side
    285.68x = 104,628.86
  5. Step 5: Solve for x
    x = 104,628.86/285.68
  6. Step 6: Final answer
    x = 366.24

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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.