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Finding the Fourth Proportional to 388.28, 534.65 and 365.19

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Solution

The fourth proportional to 388.28, 534.65 and 365.19 is: 502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.28 : 534.65 = 365.19 : x
  2. Step 2: Convert to fraction form
    388.28/534.65 = 365.19/x
  3. Step 3: Cross multiply
    388.28x = 534.65 × 365.19
  4. Step 4: Simplify right side
    388.28x = 195,247.01
  5. Step 5: Solve for x
    x = 195,247.01/388.28
  6. Step 6: Final answer
    x = 502.86

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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.