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Finding the Fourth Proportional to 447.32, 617.65 and 307.90

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Solution

The fourth proportional to 447.32, 617.65 and 307.90 is: 425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.32 : 617.65 = 307.90 : x
  2. Step 2: Convert to fraction form
    447.32/617.65 = 307.90/x
  3. Step 3: Cross multiply
    447.32x = 617.65 × 307.90
  4. Step 4: Simplify right side
    447.32x = 190,172.89
  5. Step 5: Solve for x
    x = 190,172.89/447.32
  6. Step 6: Final answer
    x = 425.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.