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Finding the Fourth Proportional to 156.16, 233.88 and 123.88

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Solution

The fourth proportional to 156.16, 233.88 and 123.88 is: 185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.16 : 233.88 = 123.88 : x
  2. Step 2: Convert to fraction form
    156.16/233.88 = 123.88/x
  3. Step 3: Cross multiply
    156.16x = 233.88 × 123.88
  4. Step 4: Simplify right side
    156.16x = 28,973.05
  5. Step 5: Solve for x
    x = 28,973.05/156.16
  6. Step 6: Final answer
    x = 185.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.