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Finding the Fourth Proportional to 155.04, 213.80 and 99.69

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Solution

The fourth proportional to 155.04, 213.80 and 99.69 is: 137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.04 : 213.80 = 99.69 : x
  2. Step 2: Convert to fraction form
    155.04/213.80 = 99.69/x
  3. Step 3: Cross multiply
    155.04x = 213.80 × 99.69
  4. Step 4: Simplify right side
    155.04x = 21,313.72
  5. Step 5: Solve for x
    x = 21,313.72/155.04
  6. Step 6: Final answer
    x = 137.47

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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.