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Finding the Fourth Proportional to 423.92, 584.72 and 307.28

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Solution

The fourth proportional to 423.92, 584.72 and 307.28 is: 423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.92 : 584.72 = 307.28 : x
  2. Step 2: Convert to fraction form
    423.92/584.72 = 307.28/x
  3. Step 3: Cross multiply
    423.92x = 584.72 × 307.28
  4. Step 4: Simplify right side
    423.92x = 179,672.76
  5. Step 5: Solve for x
    x = 179,672.76/423.92
  6. Step 6: Final answer
    x = 423.84

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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.