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Finding the Fourth Proportional to 137.07, 205.58 and 45.78

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Solution

The fourth proportional to 137.07, 205.58 and 45.78 is: 68.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.07 : 205.58 = 45.78 : x
  2. Step 2: Convert to fraction form
    137.07/205.58 = 45.78/x
  3. Step 3: Cross multiply
    137.07x = 205.58 × 45.78
  4. Step 4: Simplify right side
    137.07x = 9,411.45
  5. Step 5: Solve for x
    x = 9,411.45/137.07
  6. Step 6: Final answer
    x = 68.66

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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.