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Finding the Fourth Proportional to 278.53, 383.47 and 252.07

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Solution

The fourth proportional to 278.53, 383.47 and 252.07 is: 347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.53 : 383.47 = 252.07 : x
  2. Step 2: Convert to fraction form
    278.53/383.47 = 252.07/x
  3. Step 3: Cross multiply
    278.53x = 383.47 × 252.07
  4. Step 4: Simplify right side
    278.53x = 96,661.28
  5. Step 5: Solve for x
    x = 96,661.28/278.53
  6. Step 6: Final answer
    x = 347.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.