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Finding the Fourth Proportional to 156.82, 233.94 and 145.77

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Solution

The fourth proportional to 156.82, 233.94 and 145.77 is: 217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.82 : 233.94 = 145.77 : x
  2. Step 2: Convert to fraction form
    156.82/233.94 = 145.77/x
  3. Step 3: Cross multiply
    156.82x = 233.94 × 145.77
  4. Step 4: Simplify right side
    156.82x = 34,101.43
  5. Step 5: Solve for x
    x = 34,101.43/156.82
  6. Step 6: Final answer
    x = 217.46

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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.