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Finding the Fourth Proportional to 162.74, 242.46 and 155.76

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Solution

The fourth proportional to 162.74, 242.46 and 155.76 is: 232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.74 : 242.46 = 155.76 : x
  2. Step 2: Convert to fraction form
    162.74/242.46 = 155.76/x
  3. Step 3: Cross multiply
    162.74x = 242.46 × 155.76
  4. Step 4: Simplify right side
    162.74x = 37,764.66
  5. Step 5: Solve for x
    x = 37,764.66/162.74
  6. Step 6: Final answer
    x = 232.05

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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.