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Finding the Fourth Proportional to 435.52, 601.60 and 304.96

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Solution

The fourth proportional to 435.52, 601.60 and 304.96 is: 421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.52 : 601.60 = 304.96 : x
  2. Step 2: Convert to fraction form
    435.52/601.60 = 304.96/x
  3. Step 3: Cross multiply
    435.52x = 601.60 × 304.96
  4. Step 4: Simplify right side
    435.52x = 183,463.94
  5. Step 5: Solve for x
    x = 183,463.94/435.52
  6. Step 6: Final answer
    x = 421.25

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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.