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Finding the Fourth Proportional to 452.91, 625.06 and 278.25

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Solution

The fourth proportional to 452.91, 625.06 and 278.25 is: 384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.91 : 625.06 = 278.25 : x
  2. Step 2: Convert to fraction form
    452.91/625.06 = 278.25/x
  3. Step 3: Cross multiply
    452.91x = 625.06 × 278.25
  4. Step 4: Simplify right side
    452.91x = 173,922.95
  5. Step 5: Solve for x
    x = 173,922.95/452.91
  6. Step 6: Final answer
    x = 384.01

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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.