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Finding the Fourth Proportional to 156.16, 214.20 and 150.88

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Solution

The fourth proportional to 156.16, 214.20 and 150.88 is: 206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.16 : 214.20 = 150.88 : x
  2. Step 2: Convert to fraction form
    156.16/214.20 = 150.88/x
  3. Step 3: Cross multiply
    156.16x = 214.20 × 150.88
  4. Step 4: Simplify right side
    156.16x = 32,318.50
  5. Step 5: Solve for x
    x = 32,318.50/156.16
  6. Step 6: Final answer
    x = 206.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.