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Finding the Fourth Proportional to 401.80, 602.74 and 154.94

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Solution

The fourth proportional to 401.80, 602.74 and 154.94 is: 232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.80 : 602.74 = 154.94 : x
  2. Step 2: Convert to fraction form
    401.80/602.74 = 154.94/x
  3. Step 3: Cross multiply
    401.80x = 602.74 × 154.94
  4. Step 4: Simplify right side
    401.80x = 93,389.11
  5. Step 5: Solve for x
    x = 93,389.11/401.80
  6. Step 6: Final answer
    x = 232.43

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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.