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Finding the Fourth Proportional to 405.81, 608.65 and 145.76

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Solution

The fourth proportional to 405.81, 608.65 and 145.76 is: 218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.81 : 608.65 = 145.76 : x
  2. Step 2: Convert to fraction form
    405.81/608.65 = 145.76/x
  3. Step 3: Cross multiply
    405.81x = 608.65 × 145.76
  4. Step 4: Simplify right side
    405.81x = 88,716.82
  5. Step 5: Solve for x
    x = 88,716.82/405.81
  6. Step 6: Final answer
    x = 218.62

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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.