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Finding the Fourth Proportional to 162.65, 242.81 and 156.95

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Solution

The fourth proportional to 162.65, 242.81 and 156.95 is: 234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.65 : 242.81 = 156.95 : x
  2. Step 2: Convert to fraction form
    162.65/242.81 = 156.95/x
  3. Step 3: Cross multiply
    162.65x = 242.81 × 156.95
  4. Step 4: Simplify right side
    162.65x = 38,109.03
  5. Step 5: Solve for x
    x = 38,109.03/162.65
  6. Step 6: Final answer
    x = 234.31

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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.