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Finding the Fourth Proportional to 262.59, 362.39 and 152.09

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Solution

The fourth proportional to 262.59, 362.39 and 152.09 is: 209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.59 : 362.39 = 152.09 : x
  2. Step 2: Convert to fraction form
    262.59/362.39 = 152.09/x
  3. Step 3: Cross multiply
    262.59x = 362.39 × 152.09
  4. Step 4: Simplify right side
    262.59x = 55,117.58
  5. Step 5: Solve for x
    x = 55,117.58/262.59
  6. Step 6: Final answer
    x = 209.90

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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.