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Finding the Fourth Proportional to 407.04, 610.69 and 270.62

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Solution

The fourth proportional to 407.04, 610.69 and 270.62 is: 406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.04 : 610.69 = 270.62 : x
  2. Step 2: Convert to fraction form
    407.04/610.69 = 270.62/x
  3. Step 3: Cross multiply
    407.04x = 610.69 × 270.62
  4. Step 4: Simplify right side
    407.04x = 165,264.93
  5. Step 5: Solve for x
    x = 165,264.93/407.04
  6. Step 6: Final answer
    x = 406.02

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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.