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Finding the Fourth Proportional to 380.59, 567.90 and 357.37

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Solution

The fourth proportional to 380.59, 567.90 and 357.37 is: 533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.59 : 567.90 = 357.37 : x
  2. Step 2: Convert to fraction form
    380.59/567.90 = 357.37/x
  3. Step 3: Cross multiply
    380.59x = 567.90 × 357.37
  4. Step 4: Simplify right side
    380.59x = 202,950.42
  5. Step 5: Solve for x
    x = 202,950.42/380.59
  6. Step 6: Final answer
    x = 533.25

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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.