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Finding the Fourth Proportional to 362.88, 543.20 and 260

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Solution

The fourth proportional to 362.88, 543.20 and 260 is: 389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.88 : 543.20 = 260 : x
  2. Step 2: Convert to fraction form
    362.88/543.20 = 260/x
  3. Step 3: Cross multiply
    362.88x = 543.20 × 260
  4. Step 4: Simplify right side
    362.88x = 141,232
  5. Step 5: Solve for x
    x = 141,232/362.88
  6. Step 6: Final answer
    x = 389.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.