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Finding the Fourth Proportional to 156.06, 235.17 and 154.68

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Solution

The fourth proportional to 156.06, 235.17 and 154.68 is: 233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.06 : 235.17 = 154.68 : x
  2. Step 2: Convert to fraction form
    156.06/235.17 = 154.68/x
  3. Step 3: Cross multiply
    156.06x = 235.17 × 154.68
  4. Step 4: Simplify right side
    156.06x = 36,376.10
  5. Step 5: Solve for x
    x = 36,376.10/156.06
  6. Step 6: Final answer
    x = 233.09

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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.