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Finding the Fourth Proportional to 535.90, 738.02 and 388.30

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Solution

The fourth proportional to 535.90, 738.02 and 388.30 is: 534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.90 : 738.02 = 388.30 : x
  2. Step 2: Convert to fraction form
    535.90/738.02 = 388.30/x
  3. Step 3: Cross multiply
    535.90x = 738.02 × 388.30
  4. Step 4: Simplify right side
    535.90x = 286,573.17
  5. Step 5: Solve for x
    x = 286,573.17/535.90
  6. Step 6: Final answer
    x = 534.75

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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.