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Finding the Fourth Proportional to 407.11, 565.58 and 403.31

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Solution

The fourth proportional to 407.11, 565.58 and 403.31 is: 560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.11 : 565.58 = 403.31 : x
  2. Step 2: Convert to fraction form
    407.11/565.58 = 403.31/x
  3. Step 3: Cross multiply
    407.11x = 565.58 × 403.31
  4. Step 4: Simplify right side
    407.11x = 228,099.23
  5. Step 5: Solve for x
    x = 228,099.23/407.11
  6. Step 6: Final answer
    x = 560.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.