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Finding the Fourth Proportional to 374.88, 517.68 and 287.76

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Solution

The fourth proportional to 374.88, 517.68 and 287.76 is: 397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.88 : 517.68 = 287.76 : x
  2. Step 2: Convert to fraction form
    374.88/517.68 = 287.76/x
  3. Step 3: Cross multiply
    374.88x = 517.68 × 287.76
  4. Step 4: Simplify right side
    374.88x = 148,967.60
  5. Step 5: Solve for x
    x = 148,967.60/374.88
  6. Step 6: Final answer
    x = 397.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.