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Finding the Fourth Proportional to 288.39, 397.93 and 162.35

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Solution

The fourth proportional to 288.39, 397.93 and 162.35 is: 224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.39 : 397.93 = 162.35 : x
  2. Step 2: Convert to fraction form
    288.39/397.93 = 162.35/x
  3. Step 3: Cross multiply
    288.39x = 397.93 × 162.35
  4. Step 4: Simplify right side
    288.39x = 64,605.57
  5. Step 5: Solve for x
    x = 64,605.57/288.39
  6. Step 6: Final answer
    x = 224.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.