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Finding the Fourth Proportional to 383.30, 575.21 and 253.02

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Solution

The fourth proportional to 383.30, 575.21 and 253.02 is: 379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.30 : 575.21 = 253.02 : x
  2. Step 2: Convert to fraction form
    383.30/575.21 = 253.02/x
  3. Step 3: Cross multiply
    383.30x = 575.21 × 253.02
  4. Step 4: Simplify right side
    383.30x = 145,539.63
  5. Step 5: Solve for x
    x = 145,539.63/383.30
  6. Step 6: Final answer
    x = 379.70

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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.