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Finding the Fourth Proportional to 530.96, 796.10 and 253.46

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Solution

The fourth proportional to 530.96, 796.10 and 253.46 is: 380.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.96 : 796.10 = 253.46 : x
  2. Step 2: Convert to fraction form
    530.96/796.10 = 253.46/x
  3. Step 3: Cross multiply
    530.96x = 796.10 × 253.46
  4. Step 4: Simplify right side
    530.96x = 201,780.23
  5. Step 5: Solve for x
    x = 201,780.23/530.96
  6. Step 6: Final answer
    x = 380.03

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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.