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Finding the Fourth Proportional to 465.11, 641.57 and 307.74

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Solution

The fourth proportional to 465.11, 641.57 and 307.74 is: 424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.11 : 641.57 = 307.74 : x
  2. Step 2: Convert to fraction form
    465.11/641.57 = 307.74/x
  3. Step 3: Cross multiply
    465.11x = 641.57 × 307.74
  4. Step 4: Simplify right side
    465.11x = 197,436.75
  5. Step 5: Solve for x
    x = 197,436.75/465.11
  6. Step 6: Final answer
    x = 424.49

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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.