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Finding the Fourth Proportional to 349.83, 525.02 and 253.89

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Solution

The fourth proportional to 349.83, 525.02 and 253.89 is: 381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.83 : 525.02 = 253.89 : x
  2. Step 2: Convert to fraction form
    349.83/525.02 = 253.89/x
  3. Step 3: Cross multiply
    349.83x = 525.02 × 253.89
  4. Step 4: Simplify right side
    349.83x = 133,296.06
  5. Step 5: Solve for x
    x = 133,296.06/349.83
  6. Step 6: Final answer
    x = 381.03

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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.