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Finding the Fourth Proportional to 419.30, 578.40 and 244.61

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Solution

The fourth proportional to 419.30, 578.40 and 244.61 is: 337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.30 : 578.40 = 244.61 : x
  2. Step 2: Convert to fraction form
    419.30/578.40 = 244.61/x
  3. Step 3: Cross multiply
    419.30x = 578.40 × 244.61
  4. Step 4: Simplify right side
    419.30x = 141,482.42
  5. Step 5: Solve for x
    x = 141,482.42/419.30
  6. Step 6: Final answer
    x = 337.43

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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.