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Finding the Fourth Proportional to 431.34, 649.95 and 355.98

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Solution

The fourth proportional to 431.34, 649.95 and 355.98 is: 536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.34 : 649.95 = 355.98 : x
  2. Step 2: Convert to fraction form
    431.34/649.95 = 355.98/x
  3. Step 3: Cross multiply
    431.34x = 649.95 × 355.98
  4. Step 4: Simplify right side
    431.34x = 231,369.20
  5. Step 5: Solve for x
    x = 231,369.20/431.34
  6. Step 6: Final answer
    x = 536.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.