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Finding the Fourth Proportional to 412.81, 569.80 and 288.51

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Solution

The fourth proportional to 412.81, 569.80 and 288.51 is: 398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.81 : 569.80 = 288.51 : x
  2. Step 2: Convert to fraction form
    412.81/569.80 = 288.51/x
  3. Step 3: Cross multiply
    412.81x = 569.80 × 288.51
  4. Step 4: Simplify right side
    412.81x = 164,393.00
  5. Step 5: Solve for x
    x = 164,393.00/412.81
  6. Step 6: Final answer
    x = 398.23

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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.