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Finding the Fourth Proportional to 162.95, 242.71 and 154.73

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Solution

The fourth proportional to 162.95, 242.71 and 154.73 is: 230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.95 : 242.71 = 154.73 : x
  2. Step 2: Convert to fraction form
    162.95/242.71 = 154.73/x
  3. Step 3: Cross multiply
    162.95x = 242.71 × 154.73
  4. Step 4: Simplify right side
    162.95x = 37,554.74
  5. Step 5: Solve for x
    x = 37,554.74/162.95
  6. Step 6: Final answer
    x = 230.47

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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.