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Finding the Fourth Proportional to 162.45, 243.69 and 102.00

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Solution

The fourth proportional to 162.45, 243.69 and 102.00 is: 153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.45 : 243.69 = 102.00 : x
  2. Step 2: Convert to fraction form
    162.45/243.69 = 102.00/x
  3. Step 3: Cross multiply
    162.45x = 243.69 × 102.00
  4. Step 4: Simplify right side
    162.45x = 24,855.16
  5. Step 5: Solve for x
    x = 24,855.16/162.45
  6. Step 6: Final answer
    x = 153.00

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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.