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Finding the Fourth Proportional to 401.69, 602.53 and 127.78

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Solution

The fourth proportional to 401.69, 602.53 and 127.78 is: 191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.69 : 602.53 = 127.78 : x
  2. Step 2: Convert to fraction form
    401.69/602.53 = 127.78/x
  3. Step 3: Cross multiply
    401.69x = 602.53 × 127.78
  4. Step 4: Simplify right side
    401.69x = 76,988.27
  5. Step 5: Solve for x
    x = 76,988.27/401.69
  6. Step 6: Final answer
    x = 191.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.