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Finding the Fourth Proportional to 156.81, 234.09 and 145.53

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Solution

The fourth proportional to 156.81, 234.09 and 145.53 is: 217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.81 : 234.09 = 145.53 : x
  2. Step 2: Convert to fraction form
    156.81/234.09 = 145.53/x
  3. Step 3: Cross multiply
    156.81x = 234.09 × 145.53
  4. Step 4: Simplify right side
    156.81x = 34,067.12
  5. Step 5: Solve for x
    x = 34,067.12/156.81
  6. Step 6: Final answer
    x = 217.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.