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Finding the Fourth Proportional to 162.04, 243.08 and 70.78

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Solution

The fourth proportional to 162.04, 243.08 and 70.78 is: 106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.04 : 243.08 = 70.78 : x
  2. Step 2: Convert to fraction form
    162.04/243.08 = 70.78/x
  3. Step 3: Cross multiply
    162.04x = 243.08 × 70.78
  4. Step 4: Simplify right side
    162.04x = 17,205.20
  5. Step 5: Solve for x
    x = 17,205.20/162.04
  6. Step 6: Final answer
    x = 106.18

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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.