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Finding the Fourth Proportional to 401.65, 601.59 and 271.10

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Solution

The fourth proportional to 401.65, 601.59 and 271.10 is: 406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.65 : 601.59 = 271.10 : x
  2. Step 2: Convert to fraction form
    401.65/601.59 = 271.10/x
  3. Step 3: Cross multiply
    401.65x = 601.59 × 271.10
  4. Step 4: Simplify right side
    401.65x = 163,091.05
  5. Step 5: Solve for x
    x = 163,091.05/401.65
  6. Step 6: Final answer
    x = 406.05

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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.