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Finding the Fourth Proportional to 401.46, 602.10 and 127.50

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Solution

The fourth proportional to 401.46, 602.10 and 127.50 is: 191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.46 : 602.10 = 127.50 : x
  2. Step 2: Convert to fraction form
    401.46/602.10 = 127.50/x
  3. Step 3: Cross multiply
    401.46x = 602.10 × 127.50
  4. Step 4: Simplify right side
    401.46x = 76,767.11
  5. Step 5: Solve for x
    x = 76,767.11/401.46
  6. Step 6: Final answer
    x = 191.22

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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.