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Finding the Fourth Proportional to 162.68, 243.90 and 145.40

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Solution

The fourth proportional to 162.68, 243.90 and 145.40 is: 217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.68 : 243.90 = 145.40 : x
  2. Step 2: Convert to fraction form
    162.68/243.90 = 145.40/x
  3. Step 3: Cross multiply
    162.68x = 243.90 × 145.40
  4. Step 4: Simplify right side
    162.68x = 35,463.06
  5. Step 5: Solve for x
    x = 35,463.06/162.68
  6. Step 6: Final answer
    x = 217.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.