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Finding the Fourth Proportional to 156.49, 235.87 and 147.67

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Solution

The fourth proportional to 156.49, 235.87 and 147.67 is: 222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.49 : 235.87 = 147.67 : x
  2. Step 2: Convert to fraction form
    156.49/235.87 = 147.67/x
  3. Step 3: Cross multiply
    156.49x = 235.87 × 147.67
  4. Step 4: Simplify right side
    156.49x = 34,830.92
  5. Step 5: Solve for x
    x = 34,830.92/156.49
  6. Step 6: Final answer
    x = 222.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.