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Finding the Fourth Proportional to 156.24, 233.20 and 138

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Solution

The fourth proportional to 156.24, 233.20 and 138 is: 205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.24 : 233.20 = 138 : x
  2. Step 2: Convert to fraction form
    156.24/233.20 = 138/x
  3. Step 3: Cross multiply
    156.24x = 233.20 × 138
  4. Step 4: Simplify right side
    156.24x = 32,181.60
  5. Step 5: Solve for x
    x = 32,181.60/156.24
  6. Step 6: Final answer
    x = 205.98

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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.