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Finding the Fourth Proportional to 419.57, 579.05 and 253.88

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Solution

The fourth proportional to 419.57, 579.05 and 253.88 is: 350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.57 : 579.05 = 253.88 : x
  2. Step 2: Convert to fraction form
    419.57/579.05 = 253.88/x
  3. Step 3: Cross multiply
    419.57x = 579.05 × 253.88
  4. Step 4: Simplify right side
    419.57x = 147,009.21
  5. Step 5: Solve for x
    x = 147,009.21/419.57
  6. Step 6: Final answer
    x = 350.38

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Double scale
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Similar ratio
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1.5x scale

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.