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Finding the Fourth Proportional to 156.34, 214.59 and 149.66

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Solution

The fourth proportional to 156.34, 214.59 and 149.66 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.34 : 214.59 = 149.66 : x
  2. Step 2: Convert to fraction form
    156.34/214.59 = 149.66/x
  3. Step 3: Cross multiply
    156.34x = 214.59 × 149.66
  4. Step 4: Simplify right side
    156.34x = 32,114.47
  5. Step 5: Solve for x
    x = 32,114.47/156.34
  6. Step 6: Final answer
    x = 205.42

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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.