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Finding the Fourth Proportional to 377, 561.19 and 359.30

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Solution

The fourth proportional to 377, 561.19 and 359.30 is: 534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    377 : 561.19 = 359.30 : x
  2. Step 2: Convert to fraction form
    377/561.19 = 359.30/x
  3. Step 3: Cross multiply
    377x = 561.19 × 359.30
  4. Step 4: Simplify right side
    377x = 201,635.57
  5. Step 5: Solve for x
    x = 201,635.57/377
  6. Step 6: Final answer
    x = 534.84

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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.