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Finding the Fourth Proportional to 411.16, 619.05 and 362.72

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Solution

The fourth proportional to 411.16, 619.05 and 362.72 is: 546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.16 : 619.05 = 362.72 : x
  2. Step 2: Convert to fraction form
    411.16/619.05 = 362.72/x
  3. Step 3: Cross multiply
    411.16x = 619.05 × 362.72
  4. Step 4: Simplify right side
    411.16x = 224,541.82
  5. Step 5: Solve for x
    x = 224,541.82/411.16
  6. Step 6: Final answer
    x = 546.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.