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Finding the Fourth Proportional to 156.56, 214.67 and 151.38

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Solution

The fourth proportional to 156.56, 214.67 and 151.38 is: 207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.56 : 214.67 = 151.38 : x
  2. Step 2: Convert to fraction form
    156.56/214.67 = 151.38/x
  3. Step 3: Cross multiply
    156.56x = 214.67 × 151.38
  4. Step 4: Simplify right side
    156.56x = 32,497.12
  5. Step 5: Solve for x
    x = 32,497.12/156.56
  6. Step 6: Final answer
    x = 207.58

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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.