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Finding the Fourth Proportional to 364.60, 502.80 and 281.57

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Solution

The fourth proportional to 364.60, 502.80 and 281.57 is: 388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.60 : 502.80 = 281.57 : x
  2. Step 2: Convert to fraction form
    364.60/502.80 = 281.57/x
  3. Step 3: Cross multiply
    364.60x = 502.80 × 281.57
  4. Step 4: Simplify right side
    364.60x = 141,573.40
  5. Step 5: Solve for x
    x = 141,573.40/364.60
  6. Step 6: Final answer
    x = 388.30

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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.