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Finding the Fourth Proportional to 417.69, 575.61 and 305.28

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Solution

The fourth proportional to 417.69, 575.61 and 305.28 is: 420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.69 : 575.61 = 305.28 : x
  2. Step 2: Convert to fraction form
    417.69/575.61 = 305.28/x
  3. Step 3: Cross multiply
    417.69x = 575.61 × 305.28
  4. Step 4: Simplify right side
    417.69x = 175,722.22
  5. Step 5: Solve for x
    x = 175,722.22/417.69
  6. Step 6: Final answer
    x = 420.70

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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.