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Finding the Fourth Proportional to 412.55, 569.67 and 288.45

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Solution

The fourth proportional to 412.55, 569.67 and 288.45 is: 398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.55 : 569.67 = 288.45 : x
  2. Step 2: Convert to fraction form
    412.55/569.67 = 288.45/x
  3. Step 3: Cross multiply
    412.55x = 569.67 × 288.45
  4. Step 4: Simplify right side
    412.55x = 164,321.31
  5. Step 5: Solve for x
    x = 164,321.31/412.55
  6. Step 6: Final answer
    x = 398.31

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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.