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Finding the Fourth Proportional to 259.34, 389.16 and 122.40

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Solution

The fourth proportional to 259.34, 389.16 and 122.40 is: 183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.34 : 389.16 = 122.40 : x
  2. Step 2: Convert to fraction form
    259.34/389.16 = 122.40/x
  3. Step 3: Cross multiply
    259.34x = 389.16 × 122.40
  4. Step 4: Simplify right side
    259.34x = 47,633.18
  5. Step 5: Solve for x
    x = 47,633.18/259.34
  6. Step 6: Final answer
    x = 183.67

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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.