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Finding the Fourth Proportional to 401.90, 602.80 and 127.98

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Solution

The fourth proportional to 401.90, 602.80 and 127.98 is: 191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.90 : 602.80 = 127.98 : x
  2. Step 2: Convert to fraction form
    401.90/602.80 = 127.98/x
  3. Step 3: Cross multiply
    401.90x = 602.80 × 127.98
  4. Step 4: Simplify right side
    401.90x = 77,146.02
  5. Step 5: Solve for x
    x = 77,146.02/401.90
  6. Step 6: Final answer
    x = 191.96

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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.