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Finding the Fourth Proportional to 401.77, 602.29 and 208.81

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Solution

The fourth proportional to 401.77, 602.29 and 208.81 is: 313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.77 : 602.29 = 208.81 : x
  2. Step 2: Convert to fraction form
    401.77/602.29 = 208.81/x
  3. Step 3: Cross multiply
    401.77x = 602.29 × 208.81
  4. Step 4: Simplify right side
    401.77x = 125,764.17
  5. Step 5: Solve for x
    x = 125,764.17/401.77
  6. Step 6: Final answer
    x = 313.03

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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.