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Finding the Fourth Proportional to 380.59, 567.54 and 354.62

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Solution

The fourth proportional to 380.59, 567.54 and 354.62 is: 528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.59 : 567.54 = 354.62 : x
  2. Step 2: Convert to fraction form
    380.59/567.54 = 354.62/x
  3. Step 3: Cross multiply
    380.59x = 567.54 × 354.62
  4. Step 4: Simplify right side
    380.59x = 201,262.45
  5. Step 5: Solve for x
    x = 201,262.45/380.59
  6. Step 6: Final answer
    x = 528.82

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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.