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Finding the Fourth Proportional to 387.42, 533.88 and 304.62

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Solution

The fourth proportional to 387.42, 533.88 and 304.62 is: 419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.42 : 533.88 = 304.62 : x
  2. Step 2: Convert to fraction form
    387.42/533.88 = 304.62/x
  3. Step 3: Cross multiply
    387.42x = 533.88 × 304.62
  4. Step 4: Simplify right side
    387.42x = 162,630.53
  5. Step 5: Solve for x
    x = 162,630.53/387.42
  6. Step 6: Final answer
    x = 419.78

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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.