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Finding the Fourth Proportional to 410.67, 563.76 and 368.15

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Solution

The fourth proportional to 410.67, 563.76 and 368.15 is: 505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.67 : 563.76 = 368.15 : x
  2. Step 2: Convert to fraction form
    410.67/563.76 = 368.15/x
  3. Step 3: Cross multiply
    410.67x = 563.76 × 368.15
  4. Step 4: Simplify right side
    410.67x = 207,545.43
  5. Step 5: Solve for x
    x = 207,545.43/410.67
  6. Step 6: Final answer
    x = 505.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.