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Finding the Fourth Proportional to 389.86, 581.85 and 340.22

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Solution

The fourth proportional to 389.86, 581.85 and 340.22 is: 507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.86 : 581.85 = 340.22 : x
  2. Step 2: Convert to fraction form
    389.86/581.85 = 340.22/x
  3. Step 3: Cross multiply
    389.86x = 581.85 × 340.22
  4. Step 4: Simplify right side
    389.86x = 197,958.46
  5. Step 5: Solve for x
    x = 197,958.46/389.86
  6. Step 6: Final answer
    x = 507.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.