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Finding the Fourth Proportional to 150.36, 208.93 and 148.76

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Solution

The fourth proportional to 150.36, 208.93 and 148.76 is: 206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.36 : 208.93 = 148.76 : x
  2. Step 2: Convert to fraction form
    150.36/208.93 = 148.76/x
  3. Step 3: Cross multiply
    150.36x = 208.93 × 148.76
  4. Step 4: Simplify right side
    150.36x = 31,080.66
  5. Step 5: Solve for x
    x = 31,080.66/150.36
  6. Step 6: Final answer
    x = 206.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.