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Finding the Fourth Proportional to 416.78, 575.06 and 242.02

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Solution

The fourth proportional to 416.78, 575.06 and 242.02 is: 333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.78 : 575.06 = 242.02 : x
  2. Step 2: Convert to fraction form
    416.78/575.06 = 242.02/x
  3. Step 3: Cross multiply
    416.78x = 575.06 × 242.02
  4. Step 4: Simplify right side
    416.78x = 139,175.53
  5. Step 5: Solve for x
    x = 139,175.53/416.78
  6. Step 6: Final answer
    x = 333.93

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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.