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Finding the Fourth Proportional to 162.72, 242.32 and 155.70

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Solution

The fourth proportional to 162.72, 242.32 and 155.70 is: 231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.72 : 242.32 = 155.70 : x
  2. Step 2: Convert to fraction form
    162.72/242.32 = 155.70/x
  3. Step 3: Cross multiply
    162.72x = 242.32 × 155.70
  4. Step 4: Simplify right side
    162.72x = 37,729.22
  5. Step 5: Solve for x
    x = 37,729.22/162.72
  6. Step 6: Final answer
    x = 231.87

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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.