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Finding the Fourth Proportional to 162.91, 242.69 and 155.53

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Solution

The fourth proportional to 162.91, 242.69 and 155.53 is: 231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.91 : 242.69 = 155.53 : x
  2. Step 2: Convert to fraction form
    162.91/242.69 = 155.53/x
  3. Step 3: Cross multiply
    162.91x = 242.69 × 155.53
  4. Step 4: Simplify right side
    162.91x = 37,745.58
  5. Step 5: Solve for x
    x = 37,745.58/162.91
  6. Step 6: Final answer
    x = 231.70

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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.