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Finding the Fourth Proportional to 411.83, 569.15 and 307.27

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Solution

The fourth proportional to 411.83, 569.15 and 307.27 is: 424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.83 : 569.15 = 307.27 : x
  2. Step 2: Convert to fraction form
    411.83/569.15 = 307.27/x
  3. Step 3: Cross multiply
    411.83x = 569.15 × 307.27
  4. Step 4: Simplify right side
    411.83x = 174,882.31
  5. Step 5: Solve for x
    x = 174,882.31/411.83
  6. Step 6: Final answer
    x = 424.64

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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.