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Finding the Fourth Proportional to 378.19, 567.13 and 202.32

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Solution

The fourth proportional to 378.19, 567.13 and 202.32 is: 303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.19 : 567.13 = 202.32 : x
  2. Step 2: Convert to fraction form
    378.19/567.13 = 202.32/x
  3. Step 3: Cross multiply
    378.19x = 567.13 × 202.32
  4. Step 4: Simplify right side
    378.19x = 114,741.74
  5. Step 5: Solve for x
    x = 114,741.74/378.19
  6. Step 6: Final answer
    x = 303.40

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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.