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Finding the Fourth Proportional to 208.53, 288.07 and 162.02

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Solution

The fourth proportional to 208.53, 288.07 and 162.02 is: 223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.53 : 288.07 = 162.02 : x
  2. Step 2: Convert to fraction form
    208.53/288.07 = 162.02/x
  3. Step 3: Cross multiply
    208.53x = 288.07 × 162.02
  4. Step 4: Simplify right side
    208.53x = 46,673.10
  5. Step 5: Solve for x
    x = 46,673.10/208.53
  6. Step 6: Final answer
    x = 223.82

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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.