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Finding the Fourth Proportional to 412.23, 569.13 and 342.30

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Solution

The fourth proportional to 412.23, 569.13 and 342.30 is: 472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.23 : 569.13 = 342.30 : x
  2. Step 2: Convert to fraction form
    412.23/569.13 = 342.30/x
  3. Step 3: Cross multiply
    412.23x = 569.13 × 342.30
  4. Step 4: Simplify right side
    412.23x = 194,813.20
  5. Step 5: Solve for x
    x = 194,813.20/412.23
  6. Step 6: Final answer
    x = 472.58

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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.