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Finding the Fourth Proportional to 419.19, 578.51 and 232.68

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Solution

The fourth proportional to 419.19, 578.51 and 232.68 is: 321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.19 : 578.51 = 232.68 : x
  2. Step 2: Convert to fraction form
    419.19/578.51 = 232.68/x
  3. Step 3: Cross multiply
    419.19x = 578.51 × 232.68
  4. Step 4: Simplify right side
    419.19x = 134,607.71
  5. Step 5: Solve for x
    x = 134,607.71/419.19
  6. Step 6: Final answer
    x = 321.11

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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.