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Finding the Fourth Proportional to 409.70, 611.68 and 360.11

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Solution

The fourth proportional to 409.70, 611.68 and 360.11 is: 537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.70 : 611.68 = 360.11 : x
  2. Step 2: Convert to fraction form
    409.70/611.68 = 360.11/x
  3. Step 3: Cross multiply
    409.70x = 611.68 × 360.11
  4. Step 4: Simplify right side
    409.70x = 220,271.77
  5. Step 5: Solve for x
    x = 220,271.77/409.70
  6. Step 6: Final answer
    x = 537.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.