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Finding the Fourth Proportional to 156.52, 233.70 and 152.42

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Solution

The fourth proportional to 156.52, 233.70 and 152.42 is: 227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.52 : 233.70 = 152.42 : x
  2. Step 2: Convert to fraction form
    156.52/233.70 = 152.42/x
  3. Step 3: Cross multiply
    156.52x = 233.70 × 152.42
  4. Step 4: Simplify right side
    156.52x = 35,620.55
  5. Step 5: Solve for x
    x = 35,620.55/156.52
  6. Step 6: Final answer
    x = 227.58

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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.