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Finding the Fourth Proportional to 438.18, 657.27 and 376.10

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Solution

The fourth proportional to 438.18, 657.27 and 376.10 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.18 : 657.27 = 376.10 : x
  2. Step 2: Convert to fraction form
    438.18/657.27 = 376.10/x
  3. Step 3: Cross multiply
    438.18x = 657.27 × 376.10
  4. Step 4: Simplify right side
    438.18x = 247,195.96
  5. Step 5: Solve for x
    x = 247,195.96/438.18
  6. Step 6: Final answer
    x = 564.14

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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.