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Finding the Fourth Proportional to 156.90, 234.06 and 138.90

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Solution

The fourth proportional to 156.90, 234.06 and 138.90 is: 207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.90 : 234.06 = 138.90 : x
  2. Step 2: Convert to fraction form
    156.90/234.06 = 138.90/x
  3. Step 3: Cross multiply
    156.90x = 234.06 × 138.90
  4. Step 4: Simplify right side
    156.90x = 32,510.93
  5. Step 5: Solve for x
    x = 32,510.93/156.90
  6. Step 6: Final answer
    x = 207.21

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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.