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Finding the Fourth Proportional to 380.17, 567.53 and 346.15

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Solution

The fourth proportional to 380.17, 567.53 and 346.15 is: 516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.17 : 567.53 = 346.15 : x
  2. Step 2: Convert to fraction form
    380.17/567.53 = 346.15/x
  3. Step 3: Cross multiply
    380.17x = 567.53 × 346.15
  4. Step 4: Simplify right side
    380.17x = 196,450.51
  5. Step 5: Solve for x
    x = 196,450.51/380.17
  6. Step 6: Final answer
    x = 516.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.