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Finding the Fourth Proportional to 406.48, 560.58 and 364.60

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Solution

The fourth proportional to 406.48, 560.58 and 364.60 is: 502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.48 : 560.58 = 364.60 : x
  2. Step 2: Convert to fraction form
    406.48/560.58 = 364.60/x
  3. Step 3: Cross multiply
    406.48x = 560.58 × 364.60
  4. Step 4: Simplify right side
    406.48x = 204,387.47
  5. Step 5: Solve for x
    x = 204,387.47/406.48
  6. Step 6: Final answer
    x = 502.82

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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.