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Finding the Fourth Proportional to 448.14, 668.73 and 402.17

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Solution

The fourth proportional to 448.14, 668.73 and 402.17 is: 600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.14 : 668.73 = 402.17 : x
  2. Step 2: Convert to fraction form
    448.14/668.73 = 402.17/x
  3. Step 3: Cross multiply
    448.14x = 668.73 × 402.17
  4. Step 4: Simplify right side
    448.14x = 268,944.82
  5. Step 5: Solve for x
    x = 268,944.82/448.14
  6. Step 6: Final answer
    x = 600.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.