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Finding the Fourth Proportional to 405.26, 607.82 and 145.20

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Solution

The fourth proportional to 405.26, 607.82 and 145.20 is: 217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.26 : 607.82 = 145.20 : x
  2. Step 2: Convert to fraction form
    405.26/607.82 = 145.20/x
  3. Step 3: Cross multiply
    405.26x = 607.82 × 145.20
  4. Step 4: Simplify right side
    405.26x = 88,254.74
  5. Step 5: Solve for x
    x = 88,254.74/405.26
  6. Step 6: Final answer
    x = 217.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.