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Finding the Fourth Proportional to 389.38, 586.74 and 322.40

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Solution

The fourth proportional to 389.38, 586.74 and 322.40 is: 485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.38 : 586.74 = 322.40 : x
  2. Step 2: Convert to fraction form
    389.38/586.74 = 322.40/x
  3. Step 3: Cross multiply
    389.38x = 586.74 × 322.40
  4. Step 4: Simplify right side
    389.38x = 189,164.98
  5. Step 5: Solve for x
    x = 189,164.98/389.38
  6. Step 6: Final answer
    x = 485.81

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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.