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Finding the Fourth Proportional to 418.16, 575.81 and 344.35

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Solution

The fourth proportional to 418.16, 575.81 and 344.35 is: 474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.16 : 575.81 = 344.35 : x
  2. Step 2: Convert to fraction form
    418.16/575.81 = 344.35/x
  3. Step 3: Cross multiply
    418.16x = 575.81 × 344.35
  4. Step 4: Simplify right side
    418.16x = 198,280.46
  5. Step 5: Solve for x
    x = 198,280.46/418.16
  6. Step 6: Final answer
    x = 474.17

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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.