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Finding the Fourth Proportional to 162.94, 243.16 and 158.84

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Solution

The fourth proportional to 162.94, 243.16 and 158.84 is: 237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.94 : 243.16 = 158.84 : x
  2. Step 2: Convert to fraction form
    162.94/243.16 = 158.84/x
  3. Step 3: Cross multiply
    162.94x = 243.16 × 158.84
  4. Step 4: Simplify right side
    162.94x = 38,623.53
  5. Step 5: Solve for x
    x = 38,623.53/162.94
  6. Step 6: Final answer
    x = 237.04

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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.