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Finding the Fourth Proportional to 435.74, 601.35 and 304.70

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Solution

The fourth proportional to 435.74, 601.35 and 304.70 is: 420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.74 : 601.35 = 304.70 : x
  2. Step 2: Convert to fraction form
    435.74/601.35 = 304.70/x
  3. Step 3: Cross multiply
    435.74x = 601.35 × 304.70
  4. Step 4: Simplify right side
    435.74x = 183,231.35
  5. Step 5: Solve for x
    x = 183,231.35/435.74
  6. Step 6: Final answer
    x = 420.51

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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.