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Finding the Fourth Proportional to 156.48, 233.56 and 140.24

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Solution

The fourth proportional to 156.48, 233.56 and 140.24 is: 209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.48 : 233.56 = 140.24 : x
  2. Step 2: Convert to fraction form
    156.48/233.56 = 140.24/x
  3. Step 3: Cross multiply
    156.48x = 233.56 × 140.24
  4. Step 4: Simplify right side
    156.48x = 32,754.45
  5. Step 5: Solve for x
    x = 32,754.45/156.48
  6. Step 6: Final answer
    x = 209.32

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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.