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Finding the Fourth Proportional to 156.65, 216 and 148.43

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Solution

The fourth proportional to 156.65, 216 and 148.43 is: 204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.65 : 216 = 148.43 : x
  2. Step 2: Convert to fraction form
    156.65/216 = 148.43/x
  3. Step 3: Cross multiply
    156.65x = 216 × 148.43
  4. Step 4: Simplify right side
    156.65x = 32,059.80
  5. Step 5: Solve for x
    x = 32,059.80/156.65
  6. Step 6: Final answer
    x = 204.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.