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Finding the Fourth Proportional to 380.47, 567.72 and 357.25

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Solution

The fourth proportional to 380.47, 567.72 and 357.25 is: 533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.47 : 567.72 = 357.25 : x
  2. Step 2: Convert to fraction form
    380.47/567.72 = 357.25/x
  3. Step 3: Cross multiply
    380.47x = 567.72 × 357.25
  4. Step 4: Simplify right side
    380.47x = 202,817.97
  5. Step 5: Solve for x
    x = 202,817.97/380.47
  6. Step 6: Final answer
    x = 533.07

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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.