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Finding the Fourth Proportional to 388.02, 535.10 and 256.80

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Solution

The fourth proportional to 388.02, 535.10 and 256.80 is: 354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.02 : 535.10 = 256.80 : x
  2. Step 2: Convert to fraction form
    388.02/535.10 = 256.80/x
  3. Step 3: Cross multiply
    388.02x = 535.10 × 256.80
  4. Step 4: Simplify right side
    388.02x = 137,413.68
  5. Step 5: Solve for x
    x = 137,413.68/388.02
  6. Step 6: Final answer
    x = 354.14

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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.