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Finding the Fourth Proportional to 412.12, 569.82 and 360.24

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Solution

The fourth proportional to 412.12, 569.82 and 360.24 is: 498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.12 : 569.82 = 360.24 : x
  2. Step 2: Convert to fraction form
    412.12/569.82 = 360.24/x
  3. Step 3: Cross multiply
    412.12x = 569.82 × 360.24
  4. Step 4: Simplify right side
    412.12x = 205,271.96
  5. Step 5: Solve for x
    x = 205,271.96/412.12
  6. Step 6: Final answer
    x = 498.09

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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.