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Finding the Fourth Proportional to 417.81, 575.67 and 344.04

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Solution

The fourth proportional to 417.81, 575.67 and 344.04 is: 474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.81 : 575.67 = 344.04 : x
  2. Step 2: Convert to fraction form
    417.81/575.67 = 344.04/x
  3. Step 3: Cross multiply
    417.81x = 575.67 × 344.04
  4. Step 4: Simplify right side
    417.81x = 198,053.51
  5. Step 5: Solve for x
    x = 198,053.51/417.81
  6. Step 6: Final answer
    x = 474.03

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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.