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Finding the Fourth Proportional to 377.10, 565.41 and 289.29

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Solution

The fourth proportional to 377.10, 565.41 and 289.29 is: 433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.10 : 565.41 = 289.29 : x
  2. Step 2: Convert to fraction form
    377.10/565.41 = 289.29/x
  3. Step 3: Cross multiply
    377.10x = 565.41 × 289.29
  4. Step 4: Simplify right side
    377.10x = 163,567.46
  5. Step 5: Solve for x
    x = 163,567.46/377.10
  6. Step 6: Final answer
    x = 433.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.