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Finding the Fourth Proportional to 380.04, 524.55 and 249.01

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Solution

The fourth proportional to 380.04, 524.55 and 249.01 is: 343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.04 : 524.55 = 249.01 : x
  2. Step 2: Convert to fraction form
    380.04/524.55 = 249.01/x
  3. Step 3: Cross multiply
    380.04x = 524.55 × 249.01
  4. Step 4: Simplify right side
    380.04x = 130,618.20
  5. Step 5: Solve for x
    x = 130,618.20/380.04
  6. Step 6: Final answer
    x = 343.70

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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.