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Finding the Fourth Proportional to 388.47, 535.04 and 359.27

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Solution

The fourth proportional to 388.47, 535.04 and 359.27 is: 494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.47 : 535.04 = 359.27 : x
  2. Step 2: Convert to fraction form
    388.47/535.04 = 359.27/x
  3. Step 3: Cross multiply
    388.47x = 535.04 × 359.27
  4. Step 4: Simplify right side
    388.47x = 192,223.82
  5. Step 5: Solve for x
    x = 192,223.82/388.47
  6. Step 6: Final answer
    x = 494.82

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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.