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Finding the Fourth Proportional to 389.70, 581.79 and 346.50

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Solution

The fourth proportional to 389.70, 581.79 and 346.50 is: 517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.70 : 581.79 = 346.50 : x
  2. Step 2: Convert to fraction form
    389.70/581.79 = 346.50/x
  3. Step 3: Cross multiply
    389.70x = 581.79 × 346.50
  4. Step 4: Simplify right side
    389.70x = 201,588.50
  5. Step 5: Solve for x
    x = 201,588.50/389.70
  6. Step 6: Final answer
    x = 517.29

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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.