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Finding the Fourth Proportional to 156.69, 233.76 and 152.67

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Solution

The fourth proportional to 156.69, 233.76 and 152.67 is: 227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.69 : 233.76 = 152.67 : x
  2. Step 2: Convert to fraction form
    156.69/233.76 = 152.67/x
  3. Step 3: Cross multiply
    156.69x = 233.76 × 152.67
  4. Step 4: Simplify right side
    156.69x = 35,687.74
  5. Step 5: Solve for x
    x = 35,687.74/156.69
  6. Step 6: Final answer
    x = 227.76

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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.