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Finding the Fourth Proportional to 162.81, 223.40 and 159.93

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Solution

The fourth proportional to 162.81, 223.40 and 159.93 is: 219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.81 : 223.40 = 159.93 : x
  2. Step 2: Convert to fraction form
    162.81/223.40 = 159.93/x
  3. Step 3: Cross multiply
    162.81x = 223.40 × 159.93
  4. Step 4: Simplify right side
    162.81x = 35,728.76
  5. Step 5: Solve for x
    x = 35,728.76/162.81
  6. Step 6: Final answer
    x = 219.45

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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.