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Finding the Fourth Proportional to 156.16, 214.95 and 140.38

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Solution

The fourth proportional to 156.16, 214.95 and 140.38 is: 193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.16 : 214.95 = 140.38 : x
  2. Step 2: Convert to fraction form
    156.16/214.95 = 140.38/x
  3. Step 3: Cross multiply
    156.16x = 214.95 × 140.38
  4. Step 4: Simplify right side
    156.16x = 30,174.68
  5. Step 5: Solve for x
    x = 30,174.68/156.16
  6. Step 6: Final answer
    x = 193.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.