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Finding the Fourth Proportional to 417.42, 622.52 and 356.10

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Solution

The fourth proportional to 417.42, 622.52 and 356.10 is: 531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.42 : 622.52 = 356.10 : x
  2. Step 2: Convert to fraction form
    417.42/622.52 = 356.10/x
  3. Step 3: Cross multiply
    417.42x = 622.52 × 356.10
  4. Step 4: Simplify right side
    417.42x = 221,676.59
  5. Step 5: Solve for x
    x = 221,676.59/417.42
  6. Step 6: Final answer
    x = 531.06

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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.