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Finding the Fourth Proportional to 162.40, 223.02 and 139.08

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Solution

The fourth proportional to 162.40, 223.02 and 139.08 is: 191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.40 : 223.02 = 139.08 : x
  2. Step 2: Convert to fraction form
    162.40/223.02 = 139.08/x
  3. Step 3: Cross multiply
    162.40x = 223.02 × 139.08
  4. Step 4: Simplify right side
    162.40x = 31,016.93
  5. Step 5: Solve for x
    x = 31,016.93/162.40
  6. Step 6: Final answer
    x = 191.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.