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Finding the Fourth Proportional to 419.46, 578.86 and 253.64

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Solution

The fourth proportional to 419.46, 578.86 and 253.64 is: 350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.46 : 578.86 = 253.64 : x
  2. Step 2: Convert to fraction form
    419.46/578.86 = 253.64/x
  3. Step 3: Cross multiply
    419.46x = 578.86 × 253.64
  4. Step 4: Simplify right side
    419.46x = 146,822.86
  5. Step 5: Solve for x
    x = 146,822.86/419.46
  6. Step 6: Final answer
    x = 350.03

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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.