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Finding the Fourth Proportional to 156.78, 217.39 and 148.58

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Solution

The fourth proportional to 156.78, 217.39 and 148.58 is: 206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.78 : 217.39 = 148.58 : x
  2. Step 2: Convert to fraction form
    156.78/217.39 = 148.58/x
  3. Step 3: Cross multiply
    156.78x = 217.39 × 148.58
  4. Step 4: Simplify right side
    156.78x = 32,299.81
  5. Step 5: Solve for x
    x = 32,299.81/156.78
  6. Step 6: Final answer
    x = 206.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.