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Finding the Fourth Proportional to 406.19, 560.80 and 288.41

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Solution

The fourth proportional to 406.19, 560.80 and 288.41 is: 398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.19 : 560.80 = 288.41 : x
  2. Step 2: Convert to fraction form
    406.19/560.80 = 288.41/x
  3. Step 3: Cross multiply
    406.19x = 560.80 × 288.41
  4. Step 4: Simplify right side
    406.19x = 161,740.23
  5. Step 5: Solve for x
    x = 161,740.23/406.19
  6. Step 6: Final answer
    x = 398.19

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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.