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Finding the Fourth Proportional to 209.02, 288.57 and 162.50

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Solution

The fourth proportional to 209.02, 288.57 and 162.50 is: 224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.02 : 288.57 = 162.50 : x
  2. Step 2: Convert to fraction form
    209.02/288.57 = 162.50/x
  3. Step 3: Cross multiply
    209.02x = 288.57 × 162.50
  4. Step 4: Simplify right side
    209.02x = 46,892.63
  5. Step 5: Solve for x
    x = 46,892.63/209.02
  6. Step 6: Final answer
    x = 224.35

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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.