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Finding the Fourth Proportional to 419.51, 578.79 and 272.02

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Solution

The fourth proportional to 419.51, 578.79 and 272.02 is: 375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.51 : 578.79 = 272.02 : x
  2. Step 2: Convert to fraction form
    419.51/578.79 = 272.02/x
  3. Step 3: Cross multiply
    419.51x = 578.79 × 272.02
  4. Step 4: Simplify right side
    419.51x = 157,442.46
  5. Step 5: Solve for x
    x = 157,442.46/419.51
  6. Step 6: Final answer
    x = 375.31

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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.