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Finding the Fourth Proportional to 150.99, 208.13 and 118.18

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Solution

The fourth proportional to 150.99, 208.13 and 118.18 is: 162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.99 : 208.13 = 118.18 : x
  2. Step 2: Convert to fraction form
    150.99/208.13 = 118.18/x
  3. Step 3: Cross multiply
    150.99x = 208.13 × 118.18
  4. Step 4: Simplify right side
    150.99x = 24,597.10
  5. Step 5: Solve for x
    x = 24,597.10/150.99
  6. Step 6: Final answer
    x = 162.91

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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.