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Finding the Fourth Proportional to 758.65, 1,138.05 and 238.67

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Solution

The fourth proportional to 758.65, 1,138.05 and 238.67 is: 358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.65 : 1,138.05 = 238.67 : x
  2. Step 2: Convert to fraction form
    758.65/1,138.05 = 238.67/x
  3. Step 3: Cross multiply
    758.65x = 1,138.05 × 238.67
  4. Step 4: Simplify right side
    758.65x = 271,615.02
  5. Step 5: Solve for x
    x = 271,615.02/758.65
  6. Step 6: Final answer
    x = 358.02

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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.