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Finding the Fourth Proportional to 156.65, 233.91 and 133.79

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Solution

The fourth proportional to 156.65, 233.91 and 133.79 is: 199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.65 : 233.91 = 133.79 : x
  2. Step 2: Convert to fraction form
    156.65/233.91 = 133.79/x
  3. Step 3: Cross multiply
    156.65x = 233.91 × 133.79
  4. Step 4: Simplify right side
    156.65x = 31,293.65
  5. Step 5: Solve for x
    x = 31,293.65/156.65
  6. Step 6: Final answer
    x = 199.77

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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.