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Finding the Fourth Proportional to 152.46, 228.26 and 138.04

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Solution

The fourth proportional to 152.46, 228.26 and 138.04 is: 206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.46 : 228.26 = 138.04 : x
  2. Step 2: Convert to fraction form
    152.46/228.26 = 138.04/x
  3. Step 3: Cross multiply
    152.46x = 228.26 × 138.04
  4. Step 4: Simplify right side
    152.46x = 31,509.01
  5. Step 5: Solve for x
    x = 31,509.01/152.46
  6. Step 6: Final answer
    x = 206.67

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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.