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Finding the Fourth Proportional to 156.94, 216.27 and 154.91

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Solution

The fourth proportional to 156.94, 216.27 and 154.91 is: 213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.94 : 216.27 = 154.91 : x
  2. Step 2: Convert to fraction form
    156.94/216.27 = 154.91/x
  3. Step 3: Cross multiply
    156.94x = 216.27 × 154.91
  4. Step 4: Simplify right side
    156.94x = 33,502.93
  5. Step 5: Solve for x
    x = 33,502.93/156.94
  6. Step 6: Final answer
    x = 213.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.