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Finding the Fourth Proportional to 412.48, 569.40 and 343.36

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Solution

The fourth proportional to 412.48, 569.40 and 343.36 is: 473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 569.40 = 343.36 : x
  2. Step 2: Convert to fraction form
    412.48/569.40 = 343.36/x
  3. Step 3: Cross multiply
    412.48x = 569.40 × 343.36
  4. Step 4: Simplify right side
    412.48x = 195,509.18
  5. Step 5: Solve for x
    x = 195,509.18/412.48
  6. Step 6: Final answer
    x = 473.98

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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.