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Finding the Fourth Proportional to 431.16, 645.63 and 294.48

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Solution

The fourth proportional to 431.16, 645.63 and 294.48 is: 440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.16 : 645.63 = 294.48 : x
  2. Step 2: Convert to fraction form
    431.16/645.63 = 294.48/x
  3. Step 3: Cross multiply
    431.16x = 645.63 × 294.48
  4. Step 4: Simplify right side
    431.16x = 190,125.12
  5. Step 5: Solve for x
    x = 190,125.12/431.16
  6. Step 6: Final answer
    x = 440.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.