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Finding the Fourth Proportional to 156.40, 214.93 and 149.26

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Solution

The fourth proportional to 156.40, 214.93 and 149.26 is: 205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.40 : 214.93 = 149.26 : x
  2. Step 2: Convert to fraction form
    156.40/214.93 = 149.26/x
  3. Step 3: Cross multiply
    156.40x = 214.93 × 149.26
  4. Step 4: Simplify right side
    156.40x = 32,080.45
  5. Step 5: Solve for x
    x = 32,080.45/156.40
  6. Step 6: Final answer
    x = 205.12

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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.