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Finding the Fourth Proportional to 426.34, 589.08 and 308.08

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Solution

The fourth proportional to 426.34, 589.08 and 308.08 is: 425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.34 : 589.08 = 308.08 : x
  2. Step 2: Convert to fraction form
    426.34/589.08 = 308.08/x
  3. Step 3: Cross multiply
    426.34x = 589.08 × 308.08
  4. Step 4: Simplify right side
    426.34x = 181,483.77
  5. Step 5: Solve for x
    x = 181,483.77/426.34
  6. Step 6: Final answer
    x = 425.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.