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Finding the Fourth Proportional to 285.06, 391.25 and 253.26

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Solution

The fourth proportional to 285.06, 391.25 and 253.26 is: 347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.06 : 391.25 = 253.26 : x
  2. Step 2: Convert to fraction form
    285.06/391.25 = 253.26/x
  3. Step 3: Cross multiply
    285.06x = 391.25 × 253.26
  4. Step 4: Simplify right side
    285.06x = 99,086.71
  5. Step 5: Solve for x
    x = 99,086.71/285.06
  6. Step 6: Final answer
    x = 347.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.