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Finding the Fourth Proportional to 424.81, 586.28 and 245.41

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Solution

The fourth proportional to 424.81, 586.28 and 245.41 is: 338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.81 : 586.28 = 245.41 : x
  2. Step 2: Convert to fraction form
    424.81/586.28 = 245.41/x
  3. Step 3: Cross multiply
    424.81x = 586.28 × 245.41
  4. Step 4: Simplify right side
    424.81x = 143,878.97
  5. Step 5: Solve for x
    x = 143,878.97/424.81
  6. Step 6: Final answer
    x = 338.69

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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.