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Finding the Fourth Proportional to 156.54, 214.10 and 154.02

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Solution

The fourth proportional to 156.54, 214.10 and 154.02 is: 210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.54 : 214.10 = 154.02 : x
  2. Step 2: Convert to fraction form
    156.54/214.10 = 154.02/x
  3. Step 3: Cross multiply
    156.54x = 214.10 × 154.02
  4. Step 4: Simplify right side
    156.54x = 32,974.80
  5. Step 5: Solve for x
    x = 32,974.80/156.54
  6. Step 6: Final answer
    x = 210.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.