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Finding the Fourth Proportional to 431.12, 649.02 and 295.02

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Solution

The fourth proportional to 431.12, 649.02 and 295.02 is: 444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.12 : 649.02 = 295.02 : x
  2. Step 2: Convert to fraction form
    431.12/649.02 = 295.02/x
  3. Step 3: Cross multiply
    431.12x = 649.02 × 295.02
  4. Step 4: Simplify right side
    431.12x = 191,473.88
  5. Step 5: Solve for x
    x = 191,473.88/431.12
  6. Step 6: Final answer
    x = 444.14

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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.