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Finding the Fourth Proportional to 266.68, 368.01 and 148.66

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Solution

The fourth proportional to 266.68, 368.01 and 148.66 is: 205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.68 : 368.01 = 148.66 : x
  2. Step 2: Convert to fraction form
    266.68/368.01 = 148.66/x
  3. Step 3: Cross multiply
    266.68x = 368.01 × 148.66
  4. Step 4: Simplify right side
    266.68x = 54,708.37
  5. Step 5: Solve for x
    x = 54,708.37/266.68
  6. Step 6: Final answer
    x = 205.15

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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.