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Finding the Fourth Proportional to 375.14, 562.72 and 253.10

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Solution

The fourth proportional to 375.14, 562.72 and 253.10 is: 379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.14 : 562.72 = 253.10 : x
  2. Step 2: Convert to fraction form
    375.14/562.72 = 253.10/x
  3. Step 3: Cross multiply
    375.14x = 562.72 × 253.10
  4. Step 4: Simplify right side
    375.14x = 142,424.43
  5. Step 5: Solve for x
    x = 142,424.43/375.14
  6. Step 6: Final answer
    x = 379.66

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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.