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Finding the Fourth Proportional to 437.26, 602.10 and 378.14

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Solution

The fourth proportional to 437.26, 602.10 and 378.14 is: 520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.26 : 602.10 = 378.14 : x
  2. Step 2: Convert to fraction form
    437.26/602.10 = 378.14/x
  3. Step 3: Cross multiply
    437.26x = 602.10 × 378.14
  4. Step 4: Simplify right side
    437.26x = 227,675.08
  5. Step 5: Solve for x
    x = 227,675.08/437.26
  6. Step 6: Final answer
    x = 520.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.