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Finding the Fourth Proportional to 417.36, 622.71 and 355.80

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Solution

The fourth proportional to 417.36, 622.71 and 355.80 is: 530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.36 : 622.71 = 355.80 : x
  2. Step 2: Convert to fraction form
    417.36/622.71 = 355.80/x
  3. Step 3: Cross multiply
    417.36x = 622.71 × 355.80
  4. Step 4: Simplify right side
    417.36x = 221,560.22
  5. Step 5: Solve for x
    x = 221,560.22/417.36
  6. Step 6: Final answer
    x = 530.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.