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Finding the Fourth Proportional to 417.06, 575.55 and 242.37

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Solution

The fourth proportional to 417.06, 575.55 and 242.37 is: 334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.06 : 575.55 = 242.37 : x
  2. Step 2: Convert to fraction form
    417.06/575.55 = 242.37/x
  3. Step 3: Cross multiply
    417.06x = 575.55 × 242.37
  4. Step 4: Simplify right side
    417.06x = 139,496.05
  5. Step 5: Solve for x
    x = 139,496.05/417.06
  6. Step 6: Final answer
    x = 334.47

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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.