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Finding the Fourth Proportional to 411.20, 555.60 and 411.20

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Solution

The fourth proportional to 411.20, 555.60 and 411.20 is: 555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.20 : 555.60 = 411.20 : x
  2. Step 2: Convert to fraction form
    411.20/555.60 = 411.20/x
  3. Step 3: Cross multiply
    411.20x = 555.60 × 411.20
  4. Step 4: Simplify right side
    411.20x = 228,462.72
  5. Step 5: Solve for x
    x = 228,462.72/411.20
  6. Step 6: Final answer
    x = 555.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.