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Finding the Fourth Proportional to 423.16, 634.74 and 307.66

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Solution

The fourth proportional to 423.16, 634.74 and 307.66 is: 461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 634.74 = 307.66 : x
  2. Step 2: Convert to fraction form
    423.16/634.74 = 307.66/x
  3. Step 3: Cross multiply
    423.16x = 634.74 × 307.66
  4. Step 4: Simplify right side
    423.16x = 195,284.11
  5. Step 5: Solve for x
    x = 195,284.11/423.16
  6. Step 6: Final answer
    x = 461.49

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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.