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Finding the Fourth Proportional to 374.88, 562.56 and 253.44

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Solution

The fourth proportional to 374.88, 562.56 and 253.44 is: 380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.88 : 562.56 = 253.44 : x
  2. Step 2: Convert to fraction form
    374.88/562.56 = 253.44/x
  3. Step 3: Cross multiply
    374.88x = 562.56 × 253.44
  4. Step 4: Simplify right side
    374.88x = 142,575.21
  5. Step 5: Solve for x
    x = 142,575.21/374.88
  6. Step 6: Final answer
    x = 380.32

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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.