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Finding the Fourth Proportional to 156.74, 233.69 and 140.99

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Solution

The fourth proportional to 156.74, 233.69 and 140.99 is: 210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.74 : 233.69 = 140.99 : x
  2. Step 2: Convert to fraction form
    156.74/233.69 = 140.99/x
  3. Step 3: Cross multiply
    156.74x = 233.69 × 140.99
  4. Step 4: Simplify right side
    156.74x = 32,947.39
  5. Step 5: Solve for x
    x = 32,947.39/156.74
  6. Step 6: Final answer
    x = 210.21

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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.