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Finding the Fourth Proportional to 162.40, 244.63 and 146.38

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Solution

The fourth proportional to 162.40, 244.63 and 146.38 is: 220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.40 : 244.63 = 146.38 : x
  2. Step 2: Convert to fraction form
    162.40/244.63 = 146.38/x
  3. Step 3: Cross multiply
    162.40x = 244.63 × 146.38
  4. Step 4: Simplify right side
    162.40x = 35,808.94
  5. Step 5: Solve for x
    x = 35,808.94/162.40
  6. Step 6: Final answer
    x = 220.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.