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Finding the Fourth Proportional to 375.60, 511.20 and 375.60

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Solution

The fourth proportional to 375.60, 511.20 and 375.60 is: 511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.60 : 511.20 = 375.60 : x
  2. Step 2: Convert to fraction form
    375.60/511.20 = 375.60/x
  3. Step 3: Cross multiply
    375.60x = 511.20 × 375.60
  4. Step 4: Simplify right side
    375.60x = 192,006.72
  5. Step 5: Solve for x
    x = 192,006.72/375.60
  6. Step 6: Final answer
    x = 511.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.