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Finding the Fourth Proportional to 150.04, 206.88 and 123.80

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Solution

The fourth proportional to 150.04, 206.88 and 123.80 is: 170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.04 : 206.88 = 123.80 : x
  2. Step 2: Convert to fraction form
    150.04/206.88 = 123.80/x
  3. Step 3: Cross multiply
    150.04x = 206.88 × 123.80
  4. Step 4: Simplify right side
    150.04x = 25,611.74
  5. Step 5: Solve for x
    x = 25,611.74/150.04
  6. Step 6: Final answer
    x = 170.70

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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.