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Finding the Fourth Proportional to 377.88, 567.78 and 352.40

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Solution

The fourth proportional to 377.88, 567.78 and 352.40 is: 529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.88 : 567.78 = 352.40 : x
  2. Step 2: Convert to fraction form
    377.88/567.78 = 352.40/x
  3. Step 3: Cross multiply
    377.88x = 567.78 × 352.40
  4. Step 4: Simplify right side
    377.88x = 200,085.67
  5. Step 5: Solve for x
    x = 200,085.67/377.88
  6. Step 6: Final answer
    x = 529.50

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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.