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Finding the Fourth Proportional to 401.71, 601.42 and 299.47

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Solution

The fourth proportional to 401.71, 601.42 and 299.47 is: 448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.71 : 601.42 = 299.47 : x
  2. Step 2: Convert to fraction form
    401.71/601.42 = 299.47/x
  3. Step 3: Cross multiply
    401.71x = 601.42 × 299.47
  4. Step 4: Simplify right side
    401.71x = 180,106.50
  5. Step 5: Solve for x
    x = 180,106.50/401.71
  6. Step 6: Final answer
    x = 448.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.