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Finding the Fourth Proportional to 427.37, 638.42 and 358.16

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Solution

The fourth proportional to 427.37, 638.42 and 358.16 is: 535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.37 : 638.42 = 358.16 : x
  2. Step 2: Convert to fraction form
    427.37/638.42 = 358.16/x
  3. Step 3: Cross multiply
    427.37x = 638.42 × 358.16
  4. Step 4: Simplify right side
    427.37x = 228,651.52
  5. Step 5: Solve for x
    x = 228,651.52/427.37
  6. Step 6: Final answer
    x = 535.03

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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.