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Finding the Fourth Proportional to 156.41, 233.61 and 141.74

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Solution

The fourth proportional to 156.41, 233.61 and 141.74 is: 211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.41 : 233.61 = 141.74 : x
  2. Step 2: Convert to fraction form
    156.41/233.61 = 141.74/x
  3. Step 3: Cross multiply
    156.41x = 233.61 × 141.74
  4. Step 4: Simplify right side
    156.41x = 33,110.71
  5. Step 5: Solve for x
    x = 33,110.71/156.41
  6. Step 6: Final answer
    x = 211.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.