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Finding the Fourth Proportional to 377.06, 565.51 and 103.12

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Solution

The fourth proportional to 377.06, 565.51 and 103.12 is: 154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.06 : 565.51 = 103.12 : x
  2. Step 2: Convert to fraction form
    377.06/565.51 = 103.12/x
  3. Step 3: Cross multiply
    377.06x = 565.51 × 103.12
  4. Step 4: Simplify right side
    377.06x = 58,315.39
  5. Step 5: Solve for x
    x = 58,315.39/377.06
  6. Step 6: Final answer
    x = 154.66

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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.