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Finding the Fourth Proportional to 419.15, 578.51 and 242.22

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Solution

The fourth proportional to 419.15, 578.51 and 242.22 is: 334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.15 : 578.51 = 242.22 : x
  2. Step 2: Convert to fraction form
    419.15/578.51 = 242.22/x
  3. Step 3: Cross multiply
    419.15x = 578.51 × 242.22
  4. Step 4: Simplify right side
    419.15x = 140,128.56
  5. Step 5: Solve for x
    x = 140,128.56/419.15
  6. Step 6: Final answer
    x = 334.32

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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.