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Finding the Fourth Proportional to 389.06, 586.27 and 322.09

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Solution

The fourth proportional to 389.06, 586.27 and 322.09 is: 485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.06 : 586.27 = 322.09 : x
  2. Step 2: Convert to fraction form
    389.06/586.27 = 322.09/x
  3. Step 3: Cross multiply
    389.06x = 586.27 × 322.09
  4. Step 4: Simplify right side
    389.06x = 188,831.70
  5. Step 5: Solve for x
    x = 188,831.70/389.06
  6. Step 6: Final answer
    x = 485.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.